Pith Number

pith:2TOHINKB

pith:2014:2TOHINKBBUZ4DYHKGVMM6O4UL7

not attested not anchored not stored refs pending

Extremal examples of collapsible complexes and random discrete Morse theory

Bruno Benedetti, Frank H. Lutz, Karim A. Adiprasito

arxiv:1404.4239 v3 · 2014-04-16 · math.CO · cs.CG · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TOHINKBBUZ4DYHKGVMM6O4UL7}

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	2026-05-18T01:02:46.088294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4dc7435410d33c1e0ea3558cf3b945ffb9c2c0c13947e7f0546f16aed5e7800

Aliases

arxiv: 1404.4239 · arxiv_version: 1404.4239v3 · doi: 10.48550/arxiv.1404.4239 · pith_short_12: 2TOHINKBBUZ4 · pith_short_16: 2TOHINKBBUZ4DYHK · pith_short_8: 2TOHINKB

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/2TOHINKBBUZ4DYHKGVMM6O4UL7 \
  | 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: d4dc7435410d33c1e0ea3558cf3b945ffb9c2c0c13947e7f0546f16aed5e7800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5950424e832e04532856279cec3142d8c88300479e00bd4fd02002502521af32",
    "cross_cats_sorted": [
      "cs.CG",
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-16T13:36:00Z",
    "title_canon_sha256": "e5d92a66611f326fd12a6199ff9420148ed2717075ad098c3349427c9dc6f43b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4239",
    "kind": "arxiv",
    "version": 3
  }
}