Pith Number

pith:Q4BZUGKY

pith:2015:Q4BZUGKYWBAL5A33DKFLLF4HUZ

not attested not anchored not stored refs pending

Identifying Set Inclusion by Projective Positions and Mixed Volumes

A. Segal, D.I. Florentin, V. D. Milman

arxiv:1510.03844 v1 · 2015-10-13 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4BZUGKYWBAL5A33DKFLLF4HUZ}

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	2026-05-18T01:30:14.746146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87039a1958b040be837b1a8ab59787a6761843c318429e4edd95cd3d863208a5

Aliases

arxiv: 1510.03844 · arxiv_version: 1510.03844v1 · doi: 10.48550/arxiv.1510.03844 · pith_short_12: Q4BZUGKYWBAL · pith_short_16: Q4BZUGKYWBAL5A33 · pith_short_8: Q4BZUGKY

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/Q4BZUGKYWBAL5A33DKFLLF4HUZ \
  | 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: 87039a1958b040be837b1a8ab59787a6761843c318429e4edd95cd3d863208a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5cac89ec24842e8232b981d1087f5e9276107dc90b5c597bdd5b7bc30b79b2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-10-13T13:14:22Z",
    "title_canon_sha256": "0a15b94e6071b81c98b68bcff2437dea1d06f1cd56357d05e685da6d85060f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03844",
    "kind": "arxiv",
    "version": 1
  }
}