Pith Number

pith:AX7WBE6J

pith:2003:AX7WBE6JTFNS5QRFBLPYXOGLUA

not attested not anchored not stored refs pending

Shape phase transitions and random interactions

Roelof Bijker

arxiv:nucl-th/0303069 v1 · 2003-03-27 · nucl-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{AX7WBE6JTFNS5QRFBLPYXOGLUA}

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	2026-05-18T00:31:29.301218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05ff6093c9995b2ec2250adf8bb8cba01d1c6260196f9e732bafe0b7a4bffb05

Aliases

arxiv: nucl-th/0303069 · arxiv_version: nucl-th/0303069v1 · doi: 10.48550/arxiv.nucl-th/0303069 · pith_short_12: AX7WBE6JTFNS · pith_short_16: AX7WBE6JTFNS5QRF · pith_short_8: AX7WBE6J

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/AX7WBE6JTFNS5QRFBLPYXOGLUA \
  | 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: 05ff6093c9995b2ec2250adf8bb8cba01d1c6260196f9e732bafe0b7a4bffb05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66bfd9385647c16b65bd98e165bb7c9936d092a65be5924ef248bb9652cb9d67",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nucl-th",
    "submitted_at": "2003-03-27T20:24:06Z",
    "title_canon_sha256": "fc56a75ad25f79ef1ed04a8ba0efc58e6c016033785aa66aa93f9da1de8e8b2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nucl-th/0303069",
    "kind": "arxiv",
    "version": 1
  }
}