Pith Number

pith:UC2V7U63

pith:1997:UC2V7U63E24MHGE7SBNFPDHRPX

not attested not anchored not stored refs pending

Families of Graphs with W_r({G},q) Functions That Are Nonanalytic at 1/q=0

Robert Shrock, Shan-Ho Tsai (Institute for Theoretical Physics, State University of New York at Stony Brook)

arxiv:cond-mat/9707096 v1 · 1997-07-09 · cond-mat.stat-mech · hep-lat · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UC2V7U63E24MHGE7SBNFPDHRPX}

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	2026-07-04T16:04:04.629439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0b55fd3db26b8c3989f905a578cf17dddf60ed0e8e49eae83a2d827049d24e6

Aliases

arxiv: cond-mat/9707096 · arxiv_version: cond-mat/9707096v1 · doi: 10.48550/arxiv.cond-mat/9707096 · pith_short_12: UC2V7U63E24M · pith_short_16: UC2V7U63E24MHGE7 · pith_short_8: UC2V7U63

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/UC2V7U63E24MHGE7SBNFPDHRPX \
  | 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: a0b55fd3db26b8c3989f905a578cf17dddf60ed0e8e49eae83a2d827049d24e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46d50b2ead84a82c4fa32fe41ad051f050dbbf6de3a239ab168e24b3b7017e7",
    "cross_cats_sorted": [
      "hep-lat",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1997-07-09T19:36:10Z",
    "title_canon_sha256": "bb335868ed18d6470587dec68796e5f6664c2ea227071b357eaa6c301c9614ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9707096",
    "kind": "arxiv",
    "version": 1
  }
}