Pith Number

pith:MPESLD6I

pith:2012:MPESLD6I6FEIBZYJJDXBEOQOE6

not attested not anchored not stored refs pending

Exponential convergence to equilibrium for subcritical solutions of the Becker-D\"oring equations

Bertrand Lods, Jos\'e A. Ca\~nizo

arxiv:1211.5265 v3 · 2012-11-22 · 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{MPESLD6I6FEIBZYJJDXBEOQOE6}

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	2026-05-18T02:52:48.587270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c9258fc8f14880e70948ee123a0e278b301ff94a6224483ef4c5fb7ff17fe8

Aliases

arxiv: 1211.5265 · arxiv_version: 1211.5265v3 · doi: 10.48550/arxiv.1211.5265 · pith_short_12: MPESLD6I6FEI · pith_short_16: MPESLD6I6FEIBZYJ · pith_short_8: MPESLD6I

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/MPESLD6I6FEIBZYJJDXBEOQOE6 \
  | 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: 63c9258fc8f14880e70948ee123a0e278b301ff94a6224483ef4c5fb7ff17fe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b536fe4d9184ed9c045e1a2f4c5a2d0aa903939fa25fbcc2c4b5786782c5f220",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-22T11:44:22Z",
    "title_canon_sha256": "ae414ab5e982d3f12bd58e23b794fd160ced4dcb558cd8d8a0bdd0fe5c5210fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5265",
    "kind": "arxiv",
    "version": 3
  }
}