Pith Number

pith:P4LGNNWJ

pith:2013:P4LGNNWJF5GCB7OO6RUCISUWZP

not attested not anchored not stored refs pending

Diophantine approximation and coloring

Alan Haynes, Sara Munday

arxiv:1308.0208 v2 · 2013-08-01 · math.NT · 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{P4LGNNWJF5GCB7OO6RUCISUWZP}

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	2026-05-18T02:58:32.488007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1666b6c92f4c20fdcef468244a96cbcfb66574379ff0550528561247472da5

Aliases

arxiv: 1308.0208 · arxiv_version: 1308.0208v2 · doi: 10.48550/arxiv.1308.0208 · pith_short_12: P4LGNNWJF5GC · pith_short_16: P4LGNNWJF5GCB7OO · pith_short_8: P4LGNNWJ

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/P4LGNNWJF5GCB7OO6RUCISUWZP \
  | 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: 7f1666b6c92f4c20fdcef468244a96cbcfb66574379ff0550528561247472da5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf1d02af14137d0b8bb2bd399b53fb7e40c053e857501daa8e6487b4bfe3ffb5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-01T14:00:23Z",
    "title_canon_sha256": "753853b49ffe63b84bcfbaeb4fed0b7cdd72cf312a643c03020cc7d02100291e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0208",
    "kind": "arxiv",
    "version": 2
  }
}