Pith Number

pith:CD7IZ7KX

pith:2013:CD7IZ7KXQN2URG5ODDVROW2LRB

not attested not anchored not stored refs pending

An infinite cardinal version of Gallai's Theorem for colorings of the plane

Jeremy F. Alm

arxiv:1304.3154 v4 · 2013-04-10 · 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{CD7IZ7KXQN2URG5ODDVROW2LRB}

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	2026-05-18T01:35:38.542885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10fe8cfd578375489bae18eb175b4b884abed43975fde6ad9b969f4400b91315

Aliases

arxiv: 1304.3154 · arxiv_version: 1304.3154v4 · doi: 10.48550/arxiv.1304.3154 · pith_short_12: CD7IZ7KXQN2U · pith_short_16: CD7IZ7KXQN2URG5O · pith_short_8: CD7IZ7KX

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/CD7IZ7KXQN2URG5ODDVROW2LRB \
  | 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: 10fe8cfd578375489bae18eb175b4b884abed43975fde6ad9b969f4400b91315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6388b9abec87185efb2037cd0755abe20e78c93a71e5d2019b2cb059782f2ba9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-10T21:45:31Z",
    "title_canon_sha256": "4d6b07363e4a59cca23af8b48602449c1c42644b2e897e078295d440ed0b5a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3154",
    "kind": "arxiv",
    "version": 4
  }
}