Pith Number

pith:LXULQWW5

pith:2004:LXULQWW52XCCIV2ZYWUR6OBKVF

not attested not anchored not stored refs pending

Pre-logarithmic and logarithmic fields in a sandpile model

Geoffroy Piroux, Philippe Ruelle

arxiv:hep-th/0407143 v2 · 2004-07-16 · hep-th · 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{LXULQWW52XCCIV2ZYWUR6OBKVF}

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

Logarithmic correlation functions for critical dense polymers on the cylinder

Receipt and verification

First computed	2026-05-18T04:28:37.480000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5de8b85addd5c4245759c5a91f382aa9751562acd2d7bea94d1f8f753ff62b0d

Aliases

arxiv: hep-th/0407143 · arxiv_version: hep-th/0407143v2 · doi: 10.48550/arxiv.hep-th/0407143 · pith_short_12: LXULQWW52XCC · pith_short_16: LXULQWW52XCCIV2Z · pith_short_8: LXULQWW5

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/LXULQWW52XCCIV2ZYWUR6OBKVF \
  | 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: 5de8b85addd5c4245759c5a91f382aa9751562acd2d7bea94d1f8f753ff62b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59095f38fa5c165e17ef9521d165a804291053247d50e01909fd9f5a4753de18",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-07-16T14:58:12Z",
    "title_canon_sha256": "65165832c7f33f27d15c6bf5eed03b8c7571ffd2ea1a4f4884b91c1e9268cc5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0407143",
    "kind": "arxiv",
    "version": 2
  }
}