Pith Number

pith:BEG43YAL

pith:2012:BEG43YALTEYGTZGUD6LWGH53Q2

not attested not anchored not stored refs pending

Toward an uncountable analogue of Gallai's Theorem for colorings of the plane

Jeremy F. Alm

arxiv:1208.0374 v1 · 2012-08-01 · 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{BEG43YALTEYGTZGUD6LWGH53Q2}

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	2026-05-18T03:28:53.725243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090dcde00b993069e4d41f97631fbb86bfbf303a9b3f87cea2f8f944e4f5eb91

Aliases

arxiv: 1208.0374 · arxiv_version: 1208.0374v1 · doi: 10.48550/arxiv.1208.0374 · pith_short_12: BEG43YALTEYG · pith_short_16: BEG43YALTEYGTZGU · pith_short_8: BEG43YAL

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/BEG43YALTEYGTZGUD6LWGH53Q2 \
  | 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: 090dcde00b993069e4d41f97631fbb86bfbf303a9b3f87cea2f8f944e4f5eb91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfa13b6d63ec21593f60bb20c39cf82aedbf573f7d21cbedf79939cf615d22b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-01T23:07:13Z",
    "title_canon_sha256": "d7b675a39d5d3eaa36e0dd4b18e751eeef94edec082d003055fa9b0c8247d0ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0374",
    "kind": "arxiv",
    "version": 1
  }
}