Pith Number

pith:PWG3TDXR

pith:2012:PWG3TDXRMJ73WFCW22UFOSZVRS

not attested not anchored not stored refs pending

Linking numbers for handlebody-links

Atsuhiko Mizusawa

arxiv:1210.7408 v2 · 2012-10-28 · 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{PWG3TDXRMJ73WFCW22UFOSZVRS}

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	2026-05-18T03:25:59.075212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d8db98ef1627fbb1456d6a8574b358c8ad37dbde12632aff0e59d02274d1418

Aliases

arxiv: 1210.7408 · arxiv_version: 1210.7408v2 · doi: 10.48550/arxiv.1210.7408 · pith_short_12: PWG3TDXRMJ73 · pith_short_16: PWG3TDXRMJ73WFCW · pith_short_8: PWG3TDXR

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/PWG3TDXRMJ73WFCW22UFOSZVRS \
  | 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: 7d8db98ef1627fbb1456d6a8574b358c8ad37dbde12632aff0e59d02274d1418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac947e7e41e959d1cf058600ca1bebd40b7274022abd576dc1cbed518ac69042",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-28T06:31:40Z",
    "title_canon_sha256": "13bc36623bc085826e0fa18063d296e9b51e389232a422b40f38a2445e8ab5b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7408",
    "kind": "arxiv",
    "version": 2
  }
}