Pith Number

pith:VTVXM7Z7

pith:2013:VTVXM7Z7BVDUSW3CC7IA4IRORV

not attested not anchored not stored refs pending

Probabilistic Fr\'echet Means for Time Varying Persistence Diagrams

Elizabeth Munch, John Harer, Jonathan Mattingly, Katharine Turner, Paul Bendich, Sayan Mukherjee

arxiv:1307.6530 v3 · 2013-07-24 · math.PR · cs.CG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTVXM7Z7BVDUSW3CC7IA4IRORV}

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	2026-05-18T01:17:26.231830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aceb767f3f0d47495b6217d00e222e8d56f10779f99ea826eb3349af4c32db4d

Aliases

arxiv: 1307.6530 · arxiv_version: 1307.6530v3 · doi: 10.48550/arxiv.1307.6530 · pith_short_12: VTVXM7Z7BVDU · pith_short_16: VTVXM7Z7BVDUSW3C · pith_short_8: VTVXM7Z7

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/VTVXM7Z7BVDUSW3CC7IA4IRORV \
  | 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: aceb767f3f0d47495b6217d00e222e8d56f10779f99ea826eb3349af4c32db4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d881768fa8d92645b610447a6955fb732ed53feacd790ed8efaa40015ece3b1b",
    "cross_cats_sorted": [
      "cs.CG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-24T18:55:31Z",
    "title_canon_sha256": "b07477c32fde9610aa608832e31798654382afd5fa35ff1967353337d79f5e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6530",
    "kind": "arxiv",
    "version": 3
  }
}