Pith Number

pith:U5DCSHZ3

pith:2020:U5DCSHZ37A6KY6SI2KOIHD4STP

not attested not anchored not stored refs pending

Dichromatic number and forced subdivisions

Lior Gishboliner, Raphael Steiner, Tibor Szab\'o

arxiv:2008.09888 v1 · 2020-08-22 · 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{U5DCSHZ37A6KY6SI2KOIHD4STP}

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	2026-07-05T01:29:18.530800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a746291f3bf83cac7a48d29c838f929bfd12229e5c8263533ecfba5d82dd6380

Aliases

arxiv: 2008.09888 · arxiv_version: 2008.09888v1 · doi: 10.48550/arxiv.2008.09888 · pith_short_12: U5DCSHZ37A6K · pith_short_16: U5DCSHZ37A6KY6SI · pith_short_8: U5DCSHZ3

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/U5DCSHZ37A6KY6SI2KOIHD4STP \
  | 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: a746291f3bf83cac7a48d29c838f929bfd12229e5c8263533ecfba5d82dd6380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5194b74cc9ec2af9d47666963cd171ad63ad706ff326d26b510730993e735ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-08-22T17:55:40Z",
    "title_canon_sha256": "43adf209a075d53a9f0ccd8a1cb2709d453b6b40c13ee510d0bd6678e96c6ef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.09888",
    "kind": "arxiv",
    "version": 1
  }
}