Pith Number

pith:77TSFPQB

pith:2012:77TSFPQBNEUXWGP2OVGWHUQVJC

not attested not anchored not stored refs pending

U(1)-vortices and quantum Kirwan map

Guangbo Xu

arxiv:1211.0217 v1 · 2012-11-01 · math.SG · 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{77TSFPQBNEUXWGP2OVGWHUQVJC}

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	2026-05-18T00:26:16.959248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe722be0169297b19fa754d63d21548817ccfe5f8d8da1b76f631a12420f905

Aliases

arxiv: 1211.0217 · arxiv_version: 1211.0217v1 · doi: 10.48550/arxiv.1211.0217 · pith_short_12: 77TSFPQBNEUX · pith_short_16: 77TSFPQBNEUXWGP2 · pith_short_8: 77TSFPQB

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/77TSFPQBNEUXWGP2OVGWHUQVJC \
  | 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: ffe722be0169297b19fa754d63d21548817ccfe5f8d8da1b76f631a12420f905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1fb108bb740732e4207ed05ba60aacb3834bea0d98f9d939a3eec7f2d53b215",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-11-01T16:25:49Z",
    "title_canon_sha256": "cd5f31c1388b059780a568296be5a69b0638493ed82d397c683046fceb07f845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0217",
    "kind": "arxiv",
    "version": 1
  }
}