Pith Number

pith:VV4PISQQ

pith:2011:VV4PISQQCROD5LTIKDETF3CHJE

not attested not anchored not stored refs pending

Reductions related with Hopf maps

Vahagn Yeghikyan

arxiv:1101.4299 v1 · 2011-01-22 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VV4PISQQCROD5LTIKDETF3CHJE}

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	2026-05-18T02:03:25.340372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad78f44a10145c3eae6850c932ec474929a3c114b749e3c6e425445a0ef276dc

Aliases

arxiv: 1101.4299 · arxiv_version: 1101.4299v1 · doi: 10.48550/arxiv.1101.4299 · pith_short_12: VV4PISQQCROD · pith_short_16: VV4PISQQCROD5LTI · pith_short_8: VV4PISQQ

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/VV4PISQQCROD5LTIKDETF3CHJE \
  | 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: ad78f44a10145c3eae6850c932ec474929a3c114b749e3c6e425445a0ef276dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab092b8a605b5c68f58510717600b6e9960cb1ea5107d09338ba2570ec84342",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-22T16:00:33Z",
    "title_canon_sha256": "13cdefc18502474f6bf7c018b738983972a1ee782f025e3938abe427b5ad1193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4299",
    "kind": "arxiv",
    "version": 1
  }
}