Pith Number

pith:S2PBQQH3

pith:2012:S2PBQQH3WOMON5ZCOET6CKTQXO

not attested not anchored not stored refs pending

Multiplicities of degenerations of matrices and mixed volumes of Cayley polyhedra

Alexander Esterov

arxiv:1205.4344 v1 · 2012-05-19 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2PBQQH3WOMON5ZCOET6CKTQXO}

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	2026-05-18T03:15:32.714000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

969e1840fbb398e6f7227127e12a70bba254a36e64c0b5dec6feaf51b7ee8de0

Aliases

arxiv: 1205.4344 · arxiv_version: 1205.4344v1 · doi: 10.48550/arxiv.1205.4344 · pith_short_12: S2PBQQH3WOMO · pith_short_16: S2PBQQH3WOMON5ZC · pith_short_8: S2PBQQH3

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/S2PBQQH3WOMON5ZCOET6CKTQXO \
  | 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: 969e1840fbb398e6f7227127e12a70bba254a36e64c0b5dec6feaf51b7ee8de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3080cefd2773c50e384f1c3b61029e0b953a233b93221fbd875add888c8f353f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-19T16:17:20Z",
    "title_canon_sha256": "6fa5a07a708ee789ec41f2da8405cd08ef8422c67440856266188ac738bead8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4344",
    "kind": "arxiv",
    "version": 1
  }
}