Pith Number

pith:X3VMSO3V

pith:2006:X3VMSO3V62546NNPTPBH2S7TKE

not attested not anchored not stored refs pending

Exploration trees and conformal loop ensembles

Scott Sheffield

arxiv:math/0609167 v2 · 2006-09-06 · math.PR · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3VMSO3V62546NNPTPBH2S7TKE}

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

2 papers in Pith

Making complex CFTs real: The two-dimensional Potts model for $Q>4$ and complex $Q$

Three-point functions in critical loop models

Receipt and verification

First computed	2026-07-04T14:56:32.008521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beeac93b75f6bbcf35af9bc27d4bf3513504346ecae73ba3e02f8d0a2aca18a3

Aliases

arxiv: math/0609167 · arxiv_version: math/0609167v2 · doi: 10.48550/arxiv.math/0609167 · pith_short_12: X3VMSO3V6254 · pith_short_16: X3VMSO3V62546NNP · pith_short_8: X3VMSO3V

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/X3VMSO3V62546NNPTPBH2S7TKE \
  | 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: beeac93b75f6bbcf35af9bc27d4bf3513504346ecae73ba3e02f8d0a2aca18a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede5753bb2df2bfefdd19680a3ca64759129fa96f1fbe68ed189d4a791d94c4c",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-09-06T06:56:20Z",
    "title_canon_sha256": "7b74db76b447e045d8fe57210fad552a269aacca5c8aa5bf205486f5ba1287df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609167",
    "kind": "arxiv",
    "version": 2
  }
}