Pith Number

pith:J5G65P4R

pith:2011:J5G65P4R4FQEBFFLRP3X44QA4T

not attested not anchored not stored refs pending

Periodic long-time behaviour for an approximate model of nematic polymers

Claude Le Bris, Lingbing He, Tony Leli\`evre

arxiv:1107.3592 v1 · 2011-07-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5G65P4R4FQEBFFLRP3X44QA4T}

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	2026-05-18T04:17:24.484331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4deebf91e1604094ab8bf77e7200e4fbd40b6839d99d767ed150c2bfefcde5

Aliases

arxiv: 1107.3592 · arxiv_version: 1107.3592v1 · doi: 10.48550/arxiv.1107.3592 · pith_short_12: J5G65P4R4FQE · pith_short_16: J5G65P4R4FQEBFFL · pith_short_8: J5G65P4R

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/J5G65P4R4FQEBFFLRP3X44QA4T \
  | 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: 4f4deebf91e1604094ab8bf77e7200e4fbd40b6839d99d767ed150c2bfefcde5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da29b35603110c8d591c232b8787f4c44fa503710e5487eb94e96f0cab4b9729",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-18T22:51:59Z",
    "title_canon_sha256": "413ee2682483cea817a6407fc0f173d6216c458aa08734c72c753655f459fea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3592",
    "kind": "arxiv",
    "version": 1
  }
}