Pith Number

pith:DXEV33SD

pith:2011:DXEV33SDE4J7V3LHWEX2PQRFRR

not attested not anchored not stored refs pending

On the Representability of Line Graphs

Christopher Severs, Henning Ulfarsson, Pavel Salimov, Sergey Kitaev

arxiv:1102.3980 v1 · 2011-02-19 · 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{DXEV33SDE4J7V3LHWEX2PQRFRR}

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	2026-05-18T04:16:01.987332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc95dee432713faed67b12fa7c2258c574fc49815dae376dbaee7db7328f6de

Aliases

arxiv: 1102.3980 · arxiv_version: 1102.3980v1 · doi: 10.48550/arxiv.1102.3980 · pith_short_12: DXEV33SDE4J7 · pith_short_16: DXEV33SDE4J7V3LH · pith_short_8: DXEV33SD

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/DXEV33SDE4J7V3LHWEX2PQRFRR \
  | 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: 1dc95dee432713faed67b12fa7c2258c574fc49815dae376dbaee7db7328f6de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f665a522318089aeea5f255505e34444dd75a44ef2a997ab0a5eb3f9b61d1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-19T09:27:16Z",
    "title_canon_sha256": "9dcb4524d3b93b3363f1c05678d79f98f0c9afe9de242fe819b9997007a27312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3980",
    "kind": "arxiv",
    "version": 1
  }
}