Pith Number

pith:PV3NLVPP

pith:2011:PV3NLVPPW4FBG7AMXVCYQ4EQQY

not attested not anchored not stored refs pending

The fundamental gap of simplices

Julie Rowlett, Zhiqin Lu

arxiv:1109.4117 v2 · 2011-09-19 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PV3NLVPPW4FBG7AMXVCYQ4EQQY}

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	2026-05-18T02:56:11.883122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d76d5d5efb70a137c0cbd45887090863744a8dab4cbbcca03ea6d100828e4cd

Aliases

arxiv: 1109.4117 · arxiv_version: 1109.4117v2 · doi: 10.48550/arxiv.1109.4117 · pith_short_12: PV3NLVPPW4FB · pith_short_16: PV3NLVPPW4FBG7AM · pith_short_8: PV3NLVPP

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/PV3NLVPPW4FBG7AMXVCYQ4EQQY \
  | 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: 7d76d5d5efb70a137c0cbd45887090863744a8dab4cbbcca03ea6d100828e4cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ccda8adc8af037e638e6d0078fc96db99c4adf18e00c14f5e4c5edc44f3a032",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-09-19T18:33:06Z",
    "title_canon_sha256": "02387e627edaf96c4244425a50f36f7f530d762a229891f5a9221f97f490cb15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4117",
    "kind": "arxiv",
    "version": 2
  }
}