Pith Number

pith:LAT3DOXK

pith:2014:LAT3DOXKOVVMIA3MHD4PAKDWJA

not attested not anchored not stored refs pending

Narrow Proofs May Be Maximally Long

Albert Atserias, Jakob Nordstr\"om, Massimo Lauria

arxiv:1409.2731 v1 · 2014-09-09 · cs.CC · cs.DM · cs.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAT3DOXKOVVMIA3MHD4PAKDWJA}

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	2026-05-18T02:43:09.887822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5827b1baea756ac4036c38f8f02876480330ac973566071664d7e013781a3618

Aliases

arxiv: 1409.2731 · arxiv_version: 1409.2731v1 · doi: 10.48550/arxiv.1409.2731 · pith_short_12: LAT3DOXKOVVM · pith_short_16: LAT3DOXKOVVMIA3M · pith_short_8: LAT3DOXK

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/LAT3DOXKOVVMIA3MHD4PAKDWJA \
  | 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: 5827b1baea756ac4036c38f8f02876480330ac973566071664d7e013781a3618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a39b8ca41655c7ceb35ca6c5f5d0b3e7a5fea6555ec215e6d9216e421d3e5d9",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-09-09T13:33:09Z",
    "title_canon_sha256": "1c90213fb4a10a100eca29193925cf84fd813168ba4b9250b1b55221b6089f95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2731",
    "kind": "arxiv",
    "version": 1
  }
}