Pith Number

pith:CQF26ART

pith:2020:CQF26ARTEGZ62ATQMG27S5W6PW

not attested not anchored not stored refs pending

On quantitative aspects of a canonisation theorem for edge-orderings

Christian Reiher, Kevin Sames, Marcelo Sales, Mathias Schacht, Vojt\v{e}ch R\"odl

arxiv:2012.09256 v2 · 2020-12-16 · 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{CQF26ARTEGZ62ATQMG27S5W6PW}

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	2026-07-05T05:15:34.269871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

140baf023321b3ed027061b5f976de7d87cf309461a1681e74a682f4f69aaa8e

Aliases

arxiv: 2012.09256 · arxiv_version: 2012.09256v2 · doi: 10.48550/arxiv.2012.09256 · pith_short_12: CQF26ARTEGZ6 · pith_short_16: CQF26ARTEGZ62ATQ · pith_short_8: CQF26ART

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/CQF26ARTEGZ62ATQMG27S5W6PW \
  | 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: 140baf023321b3ed027061b5f976de7d87cf309461a1681e74a682f4f69aaa8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f28d715dad9a4c0adb77d568423f357d8271a36eba29265a3a60fb5ac7e44af",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-12-16T20:45:16Z",
    "title_canon_sha256": "823b1aad5e641a158332302c25d3bb2f3a217d4523af6b2e46bd0c63429a6c9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.09256",
    "kind": "arxiv",
    "version": 2
  }
}