Pith Number

pith:TXLV6OAH

pith:2012:TXLV6OAHA5UBEBHSLAWTA7AF4S

not attested not anchored not stored refs pending

Sum Complexes and Uncertainty Numbers

Roy Meshulam

arxiv:1212.3421 v1 · 2012-12-14 · 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{TXLV6OAHA5UBEBHSLAWTA7AF4S}

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	2026-05-18T03:38:24.709442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd75f380707681204f2582d307c05e48456406d86c0962d756a406f643cf87e

Aliases

arxiv: 1212.3421 · arxiv_version: 1212.3421v1 · doi: 10.48550/arxiv.1212.3421 · pith_short_12: TXLV6OAHA5UB · pith_short_16: TXLV6OAHA5UBEBHS · pith_short_8: TXLV6OAH

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/TXLV6OAHA5UBEBHSLAWTA7AF4S \
  | 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: 9dd75f380707681204f2582d307c05e48456406d86c0962d756a406f643cf87e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "464d60bae234b6518f91cac69ccfaa15a5bb5f2854d0fefe7933b0a4b144cd76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-14T09:30:46Z",
    "title_canon_sha256": "fab484de274ed4ac21f6566602203621ab395ce8c540e1e6660ff893e4314835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3421",
    "kind": "arxiv",
    "version": 1
  }
}