Pith Number

pith:H2TSJN27

pith:2013:H2TSJN27AXPIR5VVCLP4U2A75L

not attested not anchored not stored refs pending

Inside the critical window for cohomology of random k-complexes

Boris Pittel, Matthew Kahle

arxiv:1301.1324 v1 · 2013-01-07 · math.CO · math.AT · 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{H2TSJN27AXPIR5VVCLP4U2A75L}

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	2026-05-18T03:37:06.181149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ea724b75f05de88f6b512dfca681feac95675808538e6d2b3cb0af9cd41a683

Aliases

arxiv: 1301.1324 · arxiv_version: 1301.1324v1 · doi: 10.48550/arxiv.1301.1324 · pith_short_12: H2TSJN27AXPI · pith_short_16: H2TSJN27AXPIR5VV · pith_short_8: H2TSJN27

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/H2TSJN27AXPIR5VVCLP4U2A75L \
  | 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: 3ea724b75f05de88f6b512dfca681feac95675808538e6d2b3cb0af9cd41a683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c8780bb7d0a4af36a2667cb38143c5c97d08c9f340ce32dc37eb997278a258c",
    "cross_cats_sorted": [
      "math.AT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-07T20:10:44Z",
    "title_canon_sha256": "5eae5c7551f9edcc39520bbbb0dd6eb2a7cb6bcfcb4d88030845aa78dc336461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1324",
    "kind": "arxiv",
    "version": 1
  }
}