Pith Number

pith:3G7BXDMK

pith:2013:3G7BXDMKSSDXDG7VPGMVTDJIBW

not attested not anchored not stored refs pending

A counterexample to sparse removal

Craig Timmons, Jacques Verstraete

arxiv:1312.2994 v1 · 2013-12-10 · 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{3G7BXDMKSSDXDG7VPGMVTDJIBW}

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	2026-05-18T03:05:00.829723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9be1b8d8a9487719bf57999598d280d848e8a2172c1182b8fe88c135bccd84d

Aliases

arxiv: 1312.2994 · arxiv_version: 1312.2994v1 · doi: 10.48550/arxiv.1312.2994 · pith_short_12: 3G7BXDMKSSDX · pith_short_16: 3G7BXDMKSSDXDG7V · pith_short_8: 3G7BXDMK

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/3G7BXDMKSSDXDG7VPGMVTDJIBW \
  | 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: d9be1b8d8a9487719bf57999598d280d848e8a2172c1182b8fe88c135bccd84d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3582e8a0b627bb9d15e382d6f84892f170019fa8fe9c1d0892e5d85420abcf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-10T23:12:45Z",
    "title_canon_sha256": "73231d1b08d3670f65ca151bd093a5f83d995105700c554279780a8c90acbc1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2994",
    "kind": "arxiv",
    "version": 1
  }
}