Pith Number

pith:5BTYDIP2

pith:2021:5BTYDIP2MT6NK3YKOCAO4PO6PI

not attested not anchored not stored refs pending

Exact accidental U(1) symmetries for the axion

Enrico Nardi, Luc Darm\'e

arxiv:2102.05055 v1 · 2021-02-09 · 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{5BTYDIP2MT6NK3YKOCAO4PO6PI}

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	2026-07-05T03:16:09.494196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e86781a1fa64fcd56f0a7080ee3dde7a07a86c6d143c340930099b760f295c26

Aliases

arxiv: 2102.05055 · arxiv_version: 2102.05055v1 · doi: 10.48550/arxiv.2102.05055 · pith_short_12: 5BTYDIP2MT6N · pith_short_16: 5BTYDIP2MT6NK3YK · pith_short_8: 5BTYDIP2

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/5BTYDIP2MT6NK3YKOCAO4PO6PI \
  | 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: e86781a1fa64fcd56f0a7080ee3dde7a07a86c6d143c340930099b760f295c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2101141c6b3352bdf96742e4f7c077ecb4a663deee9b30598d3f1918d6f66e46",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-02-09T19:00:01Z",
    "title_canon_sha256": "b8e413b610994a3bb9b17fe4c1586b4858018ac7774d37dd26f7ad176c21efc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.05055",
    "kind": "arxiv",
    "version": 1
  }
}