Pith Number

pith:DIN3KBCC

pith:1993:DIN3KBCCOCBSE6OVTA5BXTLXRE

not attested not anchored not stored refs pending

Massless Flows I: the sine-Gordon and O(n) models

Al. B. Zamolodchikov, H. Saleur, P. Fendley

arxiv:hep-th/9304050 v1 · 1993-04-13 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIN3KBCCOCBSE6OVTA5BXTLXRE}

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.

Cited by

1 paper in Pith

Sine-Liouville gravity as a Vertex Model on Planar Graphs

Receipt and verification

First computed	2026-05-18T01:38:42.803343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1bb5044270832279d5983a1bcd778900c2013fbf532ad27870ad8f3287806a

Aliases

arxiv: hep-th/9304050 · arxiv_version: hep-th/9304050v1 · doi: 10.48550/arxiv.hep-th/9304050 · pith_short_12: DIN3KBCCOCBS · pith_short_16: DIN3KBCCOCBSE6OV · pith_short_8: DIN3KBCC

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/DIN3KBCCOCBSE6OVTA5BXTLXRE \
  | 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: 1a1bb5044270832279d5983a1bcd778900c2013fbf532ad27870ad8f3287806a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072edf3e8a32eaf73eaf344486119769d4041b19a22d3b56536ef4849f4e6f8e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-04-13T17:07:43Z",
    "title_canon_sha256": "230b0ebed50d104bf706ef1fb91656fe31534c95a34716e2e9f6945260a46497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9304050",
    "kind": "arxiv",
    "version": 1
  }
}