Pith Number

pith:V3TMWQ2C

pith:2012:V3TMWQ2CX7U6PI6RYYJD3DFLB7

not attested not anchored not stored refs pending

Extending partial representations of function graphs and permutation graphs

Bartosz Walczak, Jan Kratochv\'il, Pavel Klav\'ik, Tomasz Krawczyk

arxiv:1204.6391 v1 · 2012-04-28 · cs.DS · cs.DM · 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{V3TMWQ2CX7U6PI6RYYJD3DFLB7}

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	2026-05-18T03:56:45.686870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee6cb4342bfe9e7a3d1c6123d8cab0fc9a1e285226a6b7912daf01354cf0a72

Aliases

arxiv: 1204.6391 · arxiv_version: 1204.6391v1 · doi: 10.48550/arxiv.1204.6391 · pith_short_12: V3TMWQ2CX7U6 · pith_short_16: V3TMWQ2CX7U6PI6R · pith_short_8: V3TMWQ2C

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/V3TMWQ2CX7U6PI6RYYJD3DFLB7 \
  | 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: aee6cb4342bfe9e7a3d1c6123d8cab0fc9a1e285226a6b7912daf01354cf0a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23f06e1f1eb27b582040ac06deb4230afc27ae6e432f7f0bdbc3d24d63c03683",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-04-28T10:10:06Z",
    "title_canon_sha256": "8f1a84b903c9513492c1a4896185b85e441b3dd089bb59b033268b8441d7e199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6391",
    "kind": "arxiv",
    "version": 1
  }
}