Pith Number

pith:UJT7GSCQ

pith:2015:UJT7GSCQQLBZQIG74MRRDBIYJS

not attested not anchored not stored refs pending

Polynomial decay to equilibrium for the Becker-D\"oring equations

Robert L. Pego, Ryan W. Murray

arxiv:1509.01762 v1 · 2015-09-06 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJT7GSCQQLBZQIG74MRRDBIYJS}

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	2026-05-18T01:33:50.657351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a267f3485082c39820dfe3231185184ca3a07b2545fe65a40d1a4bcf087f3f5e

Aliases

arxiv: 1509.01762 · arxiv_version: 1509.01762v1 · doi: 10.48550/arxiv.1509.01762 · pith_short_12: UJT7GSCQQLBZ · pith_short_16: UJT7GSCQQLBZQIG7 · pith_short_8: UJT7GSCQ

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/UJT7GSCQQLBZQIG74MRRDBIYJS \
  | 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: a267f3485082c39820dfe3231185184ca3a07b2545fe65a40d1a4bcf087f3f5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9adca4418e25eb671a0da1a61bc564ac8f6d5e0ac403e1e22bff5e75ed4cc5ac",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-06T02:59:12Z",
    "title_canon_sha256": "e713861312306f0854012e6cade1703e96dca0676869628a961a9aff015308fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01762",
    "kind": "arxiv",
    "version": 1
  }
}