Pith Number

pith:EISQXPC5

pith:2022:EISQXPC5H3PMQN4423FSUMRRRM

not attested not anchored not stored refs pending

The shift-invariant orders of an ALP

Christophe Grojean, Jonathan Kley, Quentin Bonnefoy

arxiv:2206.04182 v2 · 2022-06-08 · hep-ph · 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{EISQXPC5H3PMQN4423FSUMRRRM}

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	2026-07-05T05:52:20.593098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22250bbc5d3edec8379cd6cb2a32318b16623d15b72364cb5bddee56c40ae39f

Aliases

arxiv: 2206.04182 · arxiv_version: 2206.04182v2 · doi: 10.48550/arxiv.2206.04182 · pith_short_12: EISQXPC5H3PM · pith_short_16: EISQXPC5H3PMQN44 · pith_short_8: EISQXPC5

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/EISQXPC5H3PMQN4423FSUMRRRM \
  | 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: 22250bbc5d3edec8379cd6cb2a32318b16623d15b72364cb5bddee56c40ae39f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "169060495d1129782f042c61d07d93977e94b3497219c4c6290ae29aa7891dab",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-06-08T22:23:41Z",
    "title_canon_sha256": "d186040a19e1e02c2f8770a16a356e0eb08b9b77369c3e52657fca97fa942123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.04182",
    "kind": "arxiv",
    "version": 2
  }
}