Pith Number

pith:XBUGSSDW

pith:2010:XBUGSSDWRU2CTZHZKXH7O7QURB

not attested not anchored not stored refs pending

Graph Varieties in High Dimension

Jeremy L. Martin, Thomas Enkosky

arxiv:1006.5864 v2 · 2010-06-30 · math.CO · 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{XBUGSSDWRU2CTZHZKXH7O7QURB}

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	2026-05-18T04:11:41.806525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8686948768d3429e4f955cff77e14887416475626b80d760c07a22273adedd9

Aliases

arxiv: 1006.5864 · arxiv_version: 1006.5864v2 · doi: 10.48550/arxiv.1006.5864 · pith_short_12: XBUGSSDWRU2C · pith_short_16: XBUGSSDWRU2CTZHZ · pith_short_8: XBUGSSDW

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/XBUGSSDWRU2CTZHZKXH7O7QURB \
  | 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: b8686948768d3429e4f955cff77e14887416475626b80d760c07a22273adedd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d409e747a9490f17fe06bab6dca97b80f0c856b8df714f74a10f1095ac27c4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-30T14:16:38Z",
    "title_canon_sha256": "cdff3beedbd888cb200f4f33f69eba595b77702ebc77c42ec2f6ce74ab09701f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5864",
    "kind": "arxiv",
    "version": 2
  }
}