Pith Number

pith:URBTFAVC

pith:2015:URBTFAVC3TU2O6PS6DXYFVRGR7

not attested not anchored not stored refs pending

Face numbers of manifolds with boundary

Isabella Novik, Satoshi Murai

arxiv:1509.05115 v2 · 2015-09-17 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URBTFAVC3TU2O6PS6DXYFVRGR7}

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.

Cited by

1 paper in Pith

Dehn Sommerville Manifolds

Receipt and verification

First computed	2026-05-18T01:17:05.098281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4433282a2dce9a779f2f0ef82d6268ffc95c3564f4050781a4f2afcc0a8f011

Aliases

arxiv: 1509.05115 · arxiv_version: 1509.05115v2 · doi: 10.48550/arxiv.1509.05115 · pith_short_12: URBTFAVC3TU2 · pith_short_16: URBTFAVC3TU2O6PS · pith_short_8: URBTFAVC

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/URBTFAVC3TU2O6PS6DXYFVRGR7 \
  | 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: a4433282a2dce9a779f2f0ef82d6268ffc95c3564f4050781a4f2afcc0a8f011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef74a1edcf837e7b3615abdd8dce17476ba2029244b8138aa7f92206c496f408",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-17T03:46:41Z",
    "title_canon_sha256": "5c11bea907625d70cc822c1605d227caa5f1c5409e609c1d8236c8b98200761c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05115",
    "kind": "arxiv",
    "version": 2
  }
}