Pith Number

pith:GDDE3AVE

pith:2011:GDDE3AVEUYDDG6P4UGNK2PUN4V

not attested not anchored not stored refs pending

Exact partition function zeros and the collapse transition of a two-dimensional lattice polymer

Jae Hwan Lee, Julian Lee, Seung-Yeon Kim

arxiv:1101.1661 v1 · 2011-01-09 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDDE3AVEUYDDG6P4UGNK2PUN4V}

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	2026-05-18T02:22:59.667473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c64d82a4a6063379fca19aad3e8de56c4134e0d432cf6f6ebac50f281c465a

Aliases

arxiv: 1101.1661 · arxiv_version: 1101.1661v1 · doi: 10.48550/arxiv.1101.1661 · pith_short_12: GDDE3AVEUYDD · pith_short_16: GDDE3AVEUYDDG6P4 · pith_short_8: GDDE3AVE

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/GDDE3AVEUYDDG6P4UGNK2PUN4V \
  | 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: 30c64d82a4a6063379fca19aad3e8de56c4134e0d432cf6f6ebac50f281c465a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "683db7e05543b2d81ca2205147336efa884fd7501448d95dbaf59f6c645c3474",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-01-09T18:52:11Z",
    "title_canon_sha256": "3bd180d81fc1af5cb84167edc788ffb64c94807758aeb4db7a0b80c05fcb6bba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1661",
    "kind": "arxiv",
    "version": 1
  }
}