Pith Number

pith:VTGVBTGI

pith:2010:VTGVBTGIEMDGIWWYAQUOYJ6XTE

not attested not anchored not stored refs pending

Enriched weakness

Jiri Rosicky, Stephen Lack

arxiv:1009.1678 v2 · 2010-09-09 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTGVBTGIEMDGIWWYAQUOYJ6XTE}

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	2026-05-18T03:55:01.792685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

accd50ccc82306645ad80428ec27d79906f9e1e0545c5b559efbc4aabae3b994

Aliases

arxiv: 1009.1678 · arxiv_version: 1009.1678v2 · doi: 10.48550/arxiv.1009.1678 · pith_short_12: VTGVBTGIEMDG · pith_short_16: VTGVBTGIEMDGIWWY · pith_short_8: VTGVBTGI

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/VTGVBTGIEMDGIWWYAQUOYJ6XTE \
  | 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: accd50ccc82306645ad80428ec27d79906f9e1e0545c5b559efbc4aabae3b994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54f7a2fdba586628386691391d9e1c9cef573b6bafe51490952c960a63d1d6a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-09-09T03:15:50Z",
    "title_canon_sha256": "6c3c3a8e896afdcd79b515c44d6c42e820ab3e7b25abb3cf53a24194ec631567"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1678",
    "kind": "arxiv",
    "version": 2
  }
}