Pith Number

pith:U5HSCKLO

pith:2010:U5HSCKLOLYQ5QWHS3L7ULWQUPB

not attested not anchored not stored refs pending

The word problem and the Aharoni-Berger-Ziv conjecture on the connectivity of independence complexes

Jonathan Ariel Barmak

arxiv:1009.3900 v1 · 2010-09-20 · math.CO · math.AT · math.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{U5HSCKLOLYQ5QWHS3L7ULWQUPB}

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	2026-05-18T04:40:43.522789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a74f21296e5e21d858f2daff45da14785848e4a7073be4d96ca58937de8c77b1

Aliases

arxiv: 1009.3900 · arxiv_version: 1009.3900v1 · doi: 10.48550/arxiv.1009.3900 · pith_short_12: U5HSCKLOLYQ5 · pith_short_16: U5HSCKLOLYQ5QWHS · pith_short_8: U5HSCKLO

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/U5HSCKLOLYQ5QWHS3L7ULWQUPB \
  | 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: a74f21296e5e21d858f2daff45da14785848e4a7073be4d96ca58937de8c77b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d00d55b12e11cea56a9e3cbaf17cd4368a8780b061bbd31e013defbf2e847351",
    "cross_cats_sorted": [
      "math.AT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-20T17:50:38Z",
    "title_canon_sha256": "7abcf5f0f4a24369fe7562df8dda9dbb91717c8a6b045ba18b59f22f74e0967e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3900",
    "kind": "arxiv",
    "version": 1
  }
}