Pith Number

pith:WYEYICIT

pith:2003:WYEYICITIWDPST4LEN53MKVX5G

not attested not anchored not stored refs pending

On Freedman's lattice models for topological phases

James Brink, Zhenghan Wang

arxiv:math-ph/0303018 v1 · 2003-03-06 · math-ph · math.GT · 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{WYEYICITIWDPST4LEN53MKVX5G}

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	2026-07-04T14:33:47.277596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6098409134586f94f8b237bb62ab7e996cc22653b1582cfe69c4a3d359eeea2

Aliases

arxiv: math-ph/0303018 · arxiv_version: math-ph/0303018v1 · doi: 10.48550/arxiv.math-ph/0303018 · pith_short_12: WYEYICITIWDP · pith_short_16: WYEYICITIWDPST4L · pith_short_8: WYEYICIT

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/WYEYICITIWDPST4LEN53MKVX5G \
  | 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: b6098409134586f94f8b237bb62ab7e996cc22653b1582cfe69c4a3d359eeea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0d76792c12c10aa833fc44adf7ae2a5da6f9b52009999dced4531257335b3d",
    "cross_cats_sorted": [
      "math.GT",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-03-06T16:12:36Z",
    "title_canon_sha256": "0fb3cc067aad15ca4f9b4c9e399310f5078ddb0ed1f60107bba842930ba4c46f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0303018",
    "kind": "arxiv",
    "version": 1
  }
}