Pith Number

pith:UFQPAE45

pith:2016:UFQPAE45UWN77FMD2PO3T6522T

not attested not anchored not stored refs pending

A short remark on a Growth Fragmentation equation

M. Escobedo

arxiv:1611.09324 v2 · 2016-11-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFQPAE45UWN77FMD2PO3T6522T}

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	2026-05-18T00:53:11.950257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a160f0139da59bff9583d3ddb9fbbad4c40b95375ae8959eaa4e8bf49fc2ca66

Aliases

arxiv: 1611.09324 · arxiv_version: 1611.09324v2 · doi: 10.48550/arxiv.1611.09324 · pith_short_12: UFQPAE45UWN7 · pith_short_16: UFQPAE45UWN77FMD · pith_short_8: UFQPAE45

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/UFQPAE45UWN77FMD2PO3T6522T \
  | 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: a160f0139da59bff9583d3ddb9fbbad4c40b95375ae8959eaa4e8bf49fc2ca66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "083a0b5240b9439c019701e233b5859d38d4615ff5d940b74eb232107935a5fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-28T20:27:33Z",
    "title_canon_sha256": "52bc0549c7cb282d9a1c2b07df3dbe20c7c15ba8676a7e74df63b6609696382f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09324",
    "kind": "arxiv",
    "version": 2
  }
}