Pith Number

pith:4EGK5Y6V

pith:2014:4EGK5Y6VRQ5EQJYBCOBJ3CNNL3

not attested not anchored not stored refs pending

Exterior splashes and linear sets of rank 3

S.G. Barwick, Wen-Ai Jackson

arxiv:1404.1641 v2 · 2014-04-07 · 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{4EGK5Y6VRQ5EQJYBCOBJ3CNNL3}

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	2026-05-18T01:24:38.711997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10caee3d58c3a48270113829d89ad5ed56a48095d5b20146c9abb2bf718e090

Aliases

arxiv: 1404.1641 · arxiv_version: 1404.1641v2 · doi: 10.48550/arxiv.1404.1641 · pith_short_12: 4EGK5Y6VRQ5E · pith_short_16: 4EGK5Y6VRQ5EQJYB · pith_short_8: 4EGK5Y6V

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/4EGK5Y6VRQ5EQJYBCOBJ3CNNL3 \
  | 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: e10caee3d58c3a48270113829d89ad5ed56a48095d5b20146c9abb2bf718e090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2926c5fea70076050be25f1a9e265d7ce46cfe0d6a6d36d08d0f3a189e03e041",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-07T01:32:01Z",
    "title_canon_sha256": "05d9865a1e0d43af65c68d3d6c6795b934dfa29af9b4075929c5c4e01d9917b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1641",
    "kind": "arxiv",
    "version": 2
  }
}