Pith Number

pith:UFQSXTJR

pith:2012:UFQSXTJRQGDIHJLYL6ERE5NPJQ

not attested not anchored not stored refs pending

Sharp vanishing thresholds for cohomology of random flag complexes

Matthew Kahle

arxiv:1207.0149 v3 · 2012-06-30 · math.AT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFQSXTJRQGDIHJLYL6ERE5NPJQ}

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	2026-05-18T03:11:33.638198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1612bcd31818683a5785f891275af4c2de3aa0a57aac86d9dee9a4f47721393

Aliases

arxiv: 1207.0149 · arxiv_version: 1207.0149v3 · doi: 10.48550/arxiv.1207.0149 · pith_short_12: UFQSXTJRQGDI · pith_short_16: UFQSXTJRQGDIHJLY · pith_short_8: UFQSXTJR

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/UFQSXTJRQGDIHJLYL6ERE5NPJQ \
  | 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: a1612bcd31818683a5785f891275af4c2de3aa0a57aac86d9dee9a4f47721393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6dc89437510c600c90c382135cd65d9da83a5d1b7fd9e6d1797e93a046077d7",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-06-30T20:45:23Z",
    "title_canon_sha256": "5df91b4bd80d8161fdcc538360242925e356143ce5d156ede9809e225608bbaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0149",
    "kind": "arxiv",
    "version": 3
  }
}