Pith Number

pith:WO4FXRVG

pith:2000:WO4FXRVGHCVETNU6COPGIU3D5R

not attested not anchored not stored refs pending

Pointlike Hopf defects in Abelian projections

Falk Bruckmann (FSU Jena)

arxiv:hep-th/0012004 v1 · 2000-12-01 · hep-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{WO4FXRVGHCVETNU6COPGIU3D5R}

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	2026-05-18T00:37:10.659674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3b85bc6a638aa49b69e139e645363ec41af8a3eabe5c60b8dab4d064a9c673e

Aliases

arxiv: hep-th/0012004 · arxiv_version: hep-th/0012004v1 · doi: 10.48550/arxiv.hep-th/0012004 · pith_short_12: WO4FXRVGHCVE · pith_short_16: WO4FXRVGHCVETNU6 · pith_short_8: WO4FXRVG

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/WO4FXRVGHCVETNU6COPGIU3D5R \
  | 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: b3b85bc6a638aa49b69e139e645363ec41af8a3eabe5c60b8dab4d064a9c673e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade03eb9680d65a09a28bc05b46d2d1246e8271628b996bfde8b406186faeb93",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-01T13:24:14Z",
    "title_canon_sha256": "2936bb63b2bffc3c0dfe1ff685e827fb4ae8e8734b3964ac66a58205aa7f4972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012004",
    "kind": "arxiv",
    "version": 1
  }
}