Pith Number

pith:BERZBGPE

pith:2009:BERZBGPEVE3SLCKPO7GWCO26DN

not attested not anchored not stored refs pending

Annealed lower tails for the energy of a polymer

Amine Asselah

arxiv:0909.5291 v1 · 2009-09-29 · 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{BERZBGPEVE3SLCKPO7GWCO26DN}

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	2026-05-18T02:11:36.558860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09239099e4a93725894f77cd613b5e1b64c3cbb0fc29d1308778e478805489c7

Aliases

arxiv: 0909.5291 · arxiv_version: 0909.5291v1 · doi: 10.48550/arxiv.0909.5291 · pith_short_12: BERZBGPEVE3S · pith_short_16: BERZBGPEVE3SLCKP · pith_short_8: BERZBGPE

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/BERZBGPEVE3SLCKPO7GWCO26DN \
  | 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: 09239099e4a93725894f77cd613b5e1b64c3cbb0fc29d1308778e478805489c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf8facd9e12c042c67423bd9b8d20bdcb41c5528eab4286f733c599fd545692",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-29T08:42:56Z",
    "title_canon_sha256": "f9e12704feaa7b29411c8a734719bf30616d6b798f738ef64501457e08f3fba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5291",
    "kind": "arxiv",
    "version": 1
  }
}