Pith Number

pith:I2KCDVZL

pith:2020:I2KCDVZLTCKN3QSLAVKTABEWHC

not attested not anchored not stored refs pending

Notes on Graph Product Structure Theory

Chun-Hung Liu, David R. Wood, Gwena\"el Joret, Tony Huynh, Zden\v{e}k Dvo\v{r}\'ak

arxiv:2001.08860 v2 · 2020-01-24 · math.CO · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2KCDVZLTCKN3QSLAVKTABEWHC}

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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.

Cited by

1 paper in Pith

Row pathwidth of complete binary trees

Receipt and verification

First computed	2026-07-05T02:15:56.879248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

469421d72b9894ddc24b0555300496389c47e0046e692744d8311d8187ef5ce6

Aliases

arxiv: 2001.08860 · arxiv_version: 2001.08860v2 · doi: 10.48550/arxiv.2001.08860 · pith_short_12: I2KCDVZLTCKN · pith_short_16: I2KCDVZLTCKN3QSL · pith_short_8: I2KCDVZL

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/I2KCDVZLTCKN3QSLAVKTABEWHC \
  | 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: 469421d72b9894ddc24b0555300496389c47e0046e692744d8311d8187ef5ce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99bef6b2fe67ff61151418f300bdc6d7263a28591c39ae3269fc23f3db80ade7",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-01-24T01:45:42Z",
    "title_canon_sha256": "5647808166a3ba67433f416f8fec03c16f701537a3203de2741755f655d8e3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.08860",
    "kind": "arxiv",
    "version": 2
  }
}