Pith Number

pith:4ABVNTGR

pith:2009:4ABVNTGRQGYVV6QJ77C2LIE5KQ

not attested not anchored not stored refs pending

The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: chiral phase transition and axion mass

E.P.S. Shellard, Olivier Wantz

arxiv:0908.0324 v4 · 2009-08-03 · hep-ph · astro-ph.CO · hep-lat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ABVNTGRQGYVV6QJ77C2LIE5KQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

The landscape of QCD axion models

Specially Embedding a Composite Axion Model

Receipt and verification

First computed	2026-07-04T17:19:59.504843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00356ccd181b15afa09ffc5a5a09d543ba1171c9698b68d2048f49055d40ca5

Aliases

arxiv: 0908.0324 · arxiv_version: 0908.0324v4 · doi: 10.48550/arxiv.0908.0324 · pith_short_12: 4ABVNTGRQGYV · pith_short_16: 4ABVNTGRQGYVV6QJ · pith_short_8: 4ABVNTGR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ABVNTGRQGYVV6QJ77C2LIE5KQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e00356ccd181b15afa09ffc5a5a09d543ba1171c9698b68d2048f49055d40ca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b6b92ba482cc445fa00413c4da736de0ad86419942213b7dfdb546a0e230119",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-08-03T19:58:58Z",
    "title_canon_sha256": "95f07679eae8fdfbc77d62d3b562a03c2f40fb5f901cff3027c1ad3c9c6768dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0324",
    "kind": "arxiv",
    "version": 4
  }
}