Pith Number

pith:XLLKTMKE

pith:2005:XLLKTMKEW6BCSIKSISMDP32Y3P

not attested not anchored not stored refs pending

A Planck-scale axion and SU(2) Yang-Mills dynamics: Present acceleration and the fate of the photon

Francesco Giacosa, Ralf Hofmann

arxiv:hep-th/0512184 v3 · 2005-12-15 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLLKTMKEW6BCSIKSISMDP32Y3P}

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.

Receipt and verification

First computed	2026-07-04T15:19:54.479398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad6a9b144b782292152449837ef58dbeea1bb50f81ccbc965f7909e119c6bcc

Aliases

arxiv: hep-th/0512184 · arxiv_version: hep-th/0512184v3 · doi: 10.48550/arxiv.hep-th/0512184 · pith_short_12: XLLKTMKEW6BC · pith_short_16: XLLKTMKEW6BCSIKS · pith_short_8: XLLKTMKE

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/XLLKTMKEW6BCSIKSISMDP32Y3P \
  | 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: bad6a9b144b782292152449837ef58dbeea1bb50f81ccbc965f7909e119c6bcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0409563ac83464df1a0da0b2b01153de98f4fa10e30efdb5c8af305f9c9c8803",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-12-15T14:08:46Z",
    "title_canon_sha256": "404b526c31a74ac30c4f1d1b5727539be639f84726de2c3d24907773296eefd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0512184",
    "kind": "arxiv",
    "version": 3
  }
}