Pith Number

pith:PPYNRS3J

pith:2009:PPYNRS3J6I7VV2QOH3VPWK5VZP

not attested not anchored not stored refs pending

The Statistical Mechanics of Stretched Polymers

Dmitry Ioffe, Yvan Velenik

arxiv:0908.0452 v1 · 2009-08-04 · math.PR · math-ph · 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{PPYNRS3J6I7VV2QOH3VPWK5VZP}

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	2026-05-18T04:14:53.692788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf0d8cb69f23f5aea0e3eeafb2bb5cbdccd7545f54ec20f7b7c00dbd272995f

Aliases

arxiv: 0908.0452 · arxiv_version: 0908.0452v1 · doi: 10.48550/arxiv.0908.0452 · pith_short_12: PPYNRS3J6I7V · pith_short_16: PPYNRS3J6I7VV2QO · pith_short_8: PPYNRS3J

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/PPYNRS3J6I7VV2QOH3VPWK5VZP \
  | 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: 7bf0d8cb69f23f5aea0e3eeafb2bb5cbdccd7545f54ec20f7b7c00dbd272995f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c762d34903a3df7f0c636eaf33d565e378f31420a9e7a899dc78d1fa29f613c4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-04T14:22:31Z",
    "title_canon_sha256": "8b65661c0c176f4926de828096dd3a1d0ec10754e133e3d8e62a6111dedab16d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0452",
    "kind": "arxiv",
    "version": 1
  }
}