Pith Number

pith:57XAISZC

pith:2008:57XAISZC3EPOANTGOYMHDUA2GP

not attested not anchored not stored refs pending

Essential dimension of Hermitian spaces

Kirill Zainoulline, Nikita Semenov

arxiv:0805.1161 v3 · 2008-05-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57XAISZC3EPOANTGOYMHDUA2GP}

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	2026-05-18T03:49:58.784139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efee044b22d91ee03666761871d01a33cede48b47e53ae703bbb63c1ffb1743c

Aliases

arxiv: 0805.1161 · arxiv_version: 0805.1161v3 · doi: 10.48550/arxiv.0805.1161 · pith_short_12: 57XAISZC3EPO · pith_short_16: 57XAISZC3EPOANTG · pith_short_8: 57XAISZC

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/57XAISZC3EPOANTGOYMHDUA2GP \
  | 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: efee044b22d91ee03666761871d01a33cede48b47e53ae703bbb63c1ffb1743c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d4235e6114a1b35bd3322acd9d7f062a71e66ae93d6fcbab256bc1e510e5e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-05-08T18:17:52Z",
    "title_canon_sha256": "87804692f95f2f6d0bcb6a2e4eff81a1b80ae336bad932e6281da69ad1c6e5bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1161",
    "kind": "arxiv",
    "version": 3
  }
}