Pith Number

pith:XRHJLPPW

pith:2002:XRHJLPPWD6GNZ5U3T3N3OHTKI3

not attested not anchored not stored refs pending

Dimensional Reduction Formulas for Branched Polymer Correlation Functions

David C. Brydges, John Z. Imbrie

arxiv:math-ph/0203055 v2 · 2002-03-27 · math-ph · cond-mat.stat-mech · 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{XRHJLPPWD6GNZ5U3T3N3OHTKI3}

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	2026-05-18T01:05:31.979293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc4e95bdf61f8cdcf69b9edbb71e6a46d810da1e7f72222ef5dbafa71c3b83b0

Aliases

arxiv: math-ph/0203055 · arxiv_version: math-ph/0203055v2 · doi: 10.48550/arxiv.math-ph/0203055 · pith_short_12: XRHJLPPWD6GN · pith_short_16: XRHJLPPWD6GNZ5U3 · pith_short_8: XRHJLPPW

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/XRHJLPPWD6GNZ5U3T3N3OHTKI3 \
  | 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: bc4e95bdf61f8cdcf69b9edbb71e6a46d810da1e7f72222ef5dbafa71c3b83b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "933c23dfd7a4d0868723d1d2a5da0729c7a6dbd5eb7b1b0e2c31243e46fe008d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-03-27T18:41:49Z",
    "title_canon_sha256": "f1c4c7e16266d9c72ca91813d2c2abcdfab232a7613000481265355cd609e30c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0203055",
    "kind": "arxiv",
    "version": 2
  }
}