Pith Number

pith:YS5WILOT

pith:2013:YS5WILOTQNHLX7JB3SKFQPXG5G

not attested not anchored not stored refs pending

Characterizing the dual mixed volume via additive functionals

Carla Peri, Paolo Dulio, Richard J. Gardner

arxiv:1312.4072 v1 · 2013-12-14 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YS5WILOTQNHLX7JB3SKFQPXG5G}

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	2026-05-18T03:04:35.884893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4bb642dd3834ebbfd21dc94583ee6e9b8b90bbcea0007198b72dee07ac2a3c5

Aliases

arxiv: 1312.4072 · arxiv_version: 1312.4072v1 · doi: 10.48550/arxiv.1312.4072 · pith_short_12: YS5WILOTQNHL · pith_short_16: YS5WILOTQNHLX7JB · pith_short_8: YS5WILOT

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/YS5WILOTQNHLX7JB3SKFQPXG5G \
  | 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: c4bb642dd3834ebbfd21dc94583ee6e9b8b90bbcea0007198b72dee07ac2a3c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2997d8f187cfe49949ac698e2a60b2c95d8a4d38ab818dd8024eb1df0ddc3a2e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-14T17:57:45Z",
    "title_canon_sha256": "c519da3da6080d4368e71e3bc0761387996f310df0e8597c55e7cdf03c5eb907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4072",
    "kind": "arxiv",
    "version": 1
  }
}