Pith Number

pith:ZVCKXVT7

pith:2012:ZVCKXVT7TEEIYP3T4U4FBYENZJ

not attested not anchored not stored refs pending

On Affine Fusion and the Phase Model

Mark A. Walton

arxiv:1208.0809 v3 · 2012-08-03 · hep-th · math-ph · 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{ZVCKXVT7TEEIYP3T4U4FBYENZJ}

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	2026-05-18T03:40:49.148441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd44abd67f99088c3f73e53850e08dca4e5067c7d8d98837494938f789aa2c31

Aliases

arxiv: 1208.0809 · arxiv_version: 1208.0809v3 · doi: 10.48550/arxiv.1208.0809 · pith_short_12: ZVCKXVT7TEEI · pith_short_16: ZVCKXVT7TEEIYP3T · pith_short_8: ZVCKXVT7

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/ZVCKXVT7TEEIYP3T4U4FBYENZJ \
  | 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: cd44abd67f99088c3f73e53850e08dca4e5067c7d8d98837494938f789aa2c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230b69cdac0d9065c0118a5a01c9ecc4d44641c63e4579f5a78caff47265a7cd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-08-03T18:22:57Z",
    "title_canon_sha256": "0703a3dc064bca66e4c6fc7552cee41e39930150621dd7cae2c31633e483e4c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0809",
    "kind": "arxiv",
    "version": 3
  }
}