Pith Number

pith:LO3OOI4N

pith:2013:LO3OOI4NJ2NAJTHCEWU3X7O47Z

not attested not anchored not stored refs pending

Expansive measures for flows

C. A. Morales, D. Carrasco-Olivera

arxiv:1304.3327 v1 · 2013-04-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LO3OOI4NJ2NAJTHCEWU3X7O47Z}

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	2026-05-18T03:28:17.966798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bb6e7238d4e9a04cce225a9bbfddcfe73c56411acdab80326c52f74efc4cd05

Aliases

arxiv: 1304.3327 · arxiv_version: 1304.3327v1 · doi: 10.48550/arxiv.1304.3327 · pith_short_12: LO3OOI4NJ2NA · pith_short_16: LO3OOI4NJ2NAJTHC · pith_short_8: LO3OOI4N

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/LO3OOI4NJ2NAJTHCEWU3X7O47Z \
  | 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: 5bb6e7238d4e9a04cce225a9bbfddcfe73c56411acdab80326c52f74efc4cd05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f97d23e7274ecc5161d7cb8ce774f8e8d276765b9fd5cce88bdc005b1ab43bba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-11T14:45:02Z",
    "title_canon_sha256": "8f89605bac38623e72b32ab2c530c5efd5f45c875904d506b176da655ee8bfb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3327",
    "kind": "arxiv",
    "version": 1
  }
}