Pith Number

pith:XLGVJP7F

pith:2010:XLGVJP7FBBGXU7QQJEGCACKANO

not attested not anchored not stored refs pending

Graphs with few matching roots

Ebrahim Ghorbani

arxiv:1011.0284 v3 · 2010-11-01 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLGVJP7FBBGXU7QQJEGCACKANO}

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	2026-05-18T03:57:25.400680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bacd54bfe5084d7a7e10490c2009406bb950ea96e3beef571336a860e7c61475

Aliases

arxiv: 1011.0284 · arxiv_version: 1011.0284v3 · doi: 10.48550/arxiv.1011.0284 · pith_short_12: XLGVJP7FBBGX · pith_short_16: XLGVJP7FBBGXU7QQ · pith_short_8: XLGVJP7F

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/XLGVJP7FBBGXU7QQJEGCACKANO \
  | 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: bacd54bfe5084d7a7e10490c2009406bb950ea96e3beef571336a860e7c61475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcfc995fc59eaaad32894bd51b52c47c3741d9eef5f3838cc5d1914a56020799",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-01T10:24:47Z",
    "title_canon_sha256": "a9fc93f001f91cae90bf6c786dc99d0548abc5df3d00678c460e1fa753244451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0284",
    "kind": "arxiv",
    "version": 3
  }
}