Pith Number

pith:FXIF5NL7

pith:2012:FXIF5NL77FXEXQ6VZERE3ORXFU

not attested not anchored not stored refs pending

Circle actions on a quantum Seifert manifold

Tomasz Brzezi\'nski

arxiv:1203.6801 v1 · 2012-03-30 · math.QA · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXIF5NL77FXEXQ6VZERE3ORXFU}

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	2026-05-18T03:58:52.215189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dd05eb57ff96e4bc3d5c9224dba372d2b095b087f2b65f523e65f62346cf634

Aliases

arxiv: 1203.6801 · arxiv_version: 1203.6801v1 · doi: 10.48550/arxiv.1203.6801 · pith_short_12: FXIF5NL77FXE · pith_short_16: FXIF5NL77FXEXQ6V · pith_short_8: FXIF5NL7

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/FXIF5NL77FXEXQ6VZERE3ORXFU \
  | 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: 2dd05eb57ff96e4bc3d5c9224dba372d2b095b087f2b65f523e65f62346cf634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cad3a5f677847e3a71b8df0f69d19224337fcb29250d1ec23966de5a129a1f4",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-03-30T13:05:36Z",
    "title_canon_sha256": "d0043eb16a33645a53d369f75fbf5b6eb482230dcd61a916049cc095c54373be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6801",
    "kind": "arxiv",
    "version": 1
  }
}