Pith Number

pith:FUDHZVHC

pith:2016:FUDHZVHC7TYELM554XIJRI24YX

not attested not anchored not stored refs pending

Integral homology of random simplicial complexes

Tomasz {\L}uczak, Yuval Peled

arxiv:1607.06985 v1 · 2016-07-24 · 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{FUDHZVHC7TYELM554XIJRI24YX}

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	2026-05-18T01:10:35.246762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d067cd4e2fcf045b3bde5d098a35cc5c254c5914d53364a7e43ac7f17f04dd9

Aliases

arxiv: 1607.06985 · arxiv_version: 1607.06985v1 · doi: 10.48550/arxiv.1607.06985 · pith_short_12: FUDHZVHC7TYE · pith_short_16: FUDHZVHC7TYELM55 · pith_short_8: FUDHZVHC

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/FUDHZVHC7TYELM554XIJRI24YX \
  | 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: 2d067cd4e2fcf045b3bde5d098a35cc5c254c5914d53364a7e43ac7f17f04dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2881243e7b7bc330198ab0a6ec7368568068904ead760a3a4efe8c7d50e48aa",
    "cross_cats_sorted": [
      "math.AT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-24T00:27:58Z",
    "title_canon_sha256": "850ee218f5eccaac8ca6d44ffdd6417f29657fa745b10af931e07a665f4de899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06985",
    "kind": "arxiv",
    "version": 1
  }
}