Pith Number

pith:AZX7WHIC

pith:2013:AZX7WHIC3ZI4LR6OZSNGOWGKAP

not attested not anchored not stored refs pending

Exponential rate of convergence in current reservoirs

Anna De Masi, Dimitrios Tsagkarogiannis, Errico Presutti, Maria Eulalia Vares

arxiv:1304.0624 v3 · 2013-04-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZX7WHIC3ZI4LR6OZSNGOWGKAP}

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	2026-05-18T01:36:15.891558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066ffb1d02de51c5c7cecc9a6758ca03dec13ab149c4aba21a269643cbb8af3b

Aliases

arxiv: 1304.0624 · arxiv_version: 1304.0624v3 · doi: 10.48550/arxiv.1304.0624 · pith_short_12: AZX7WHIC3ZI4 · pith_short_16: AZX7WHIC3ZI4LR6O · pith_short_8: AZX7WHIC

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/AZX7WHIC3ZI4LR6OZSNGOWGKAP \
  | 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: 066ffb1d02de51c5c7cecc9a6758ca03dec13ab149c4aba21a269643cbb8af3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dcd9c6560df71a1b4d980ce36328ad20bf413dbe210b829e7fd33e189425c72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-02T13:28:52Z",
    "title_canon_sha256": "880a3d477e7e7263ad37bd771180585b2495d69f85def86e97268217a749e34f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0624",
    "kind": "arxiv",
    "version": 3
  }
}