Pith Number

pith:77BLY65N

pith:2009:77BLY65NYBNGAADLCQDJC7HRXR

not attested not anchored not stored refs pending

Remarks on 2-dimensional HQFT's

Mihai D. Staic, Vladimir Turaev

arxiv:0912.1380 v2 · 2009-12-08 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77BLY65NYBNGAADLCQDJC7HRXR}

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	2026-05-18T02:41:51.015664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc2bc7badc05a60006b1406917cf1bc6dafb76c73dcbc2f50b403b1ea9ded99

Aliases

arxiv: 0912.1380 · arxiv_version: 0912.1380v2 · doi: 10.48550/arxiv.0912.1380 · pith_short_12: 77BLY65NYBNG · pith_short_16: 77BLY65NYBNGAADL · pith_short_8: 77BLY65N

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/77BLY65NYBNGAADLCQDJC7HRXR \
  | 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: ffc2bc7badc05a60006b1406917cf1bc6dafb76c73dcbc2f50b403b1ea9ded99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d165111c7ed65f9c263f31f88c3e0ebd36758a48f708368868f8b600567631",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-12-08T00:51:25Z",
    "title_canon_sha256": "11b9f539d5868c4b1f34995626f693118822edc864728671c817f381508fe2e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1380",
    "kind": "arxiv",
    "version": 2
  }
}