Pith Number

pith:5CWDMXGN

pith:2015:5CWDMXGNTHFDY6AUYZYAIZH3TO

not attested not anchored not stored refs pending

Homological Domination in Large Random Simplicial Complexes

A. Costa, M. Farber

arxiv:1503.03253 v2 · 2015-03-11 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CWDMXGNTHFDY6AUYZYAIZH3TO}

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	2026-05-18T01:35:22.415722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8ac365ccd99ca3c7814c6700464fb9b99ef9cbd61345e2b7bff7611f4c165e3

Aliases

arxiv: 1503.03253 · arxiv_version: 1503.03253v2 · doi: 10.48550/arxiv.1503.03253 · pith_short_12: 5CWDMXGNTHFD · pith_short_16: 5CWDMXGNTHFDY6AU · pith_short_8: 5CWDMXGN

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/5CWDMXGNTHFDY6AUYZYAIZH3TO \
  | 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: e8ac365ccd99ca3c7814c6700464fb9b99ef9cbd61345e2b7bff7611f4c165e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00c06e24263fdb971cf4019ac32445f38af4fd68b76ea4f46a50e6bb60dd4fa8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-11T10:02:05Z",
    "title_canon_sha256": "e59f4f40526d12de940898f5098517b3a7d263626086a8c6a53e5a4ce16b5924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03253",
    "kind": "arxiv",
    "version": 2
  }
}