Pith Number

pith:SAIFZY3E

pith:2021:SAIFZY3ESDPKQVA7N4VRWL7ZNQ

not attested not anchored not stored refs pending

Bordered manifolds with torus boundary and the link surgery formula

Ian Zemke

arxiv:2109.11520 v6 · 2021-09-23 · 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{SAIFZY3ESDPKQVA7N4VRWL7ZNQ}

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.

Cited by

2 papers in Pith

On L-space surgeries on two-bridge links

An infinity-categorical TQFT from instantons

Receipt and verification

First computed	2026-07-05T10:15:40.216785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90105ce36490dea8541f6f2b1b2ff96c091159632df5efbb620c85fd162a0302

Aliases

arxiv: 2109.11520 · arxiv_version: 2109.11520v6 · doi: 10.48550/arxiv.2109.11520 · pith_short_12: SAIFZY3ESDPK · pith_short_16: SAIFZY3ESDPKQVA7 · pith_short_8: SAIFZY3E

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/SAIFZY3ESDPKQVA7N4VRWL7ZNQ \
  | 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: 90105ce36490dea8541f6f2b1b2ff96c091159632df5efbb620c85fd162a0302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3122da0f44144dbbc96ba2967e92a8cb359173ddbf5c3198d4b6aa4b88b7386a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-09-23T17:41:52Z",
    "title_canon_sha256": "bc7c8fb56f3f3830f837dd84e2683eee4230ce165a88a36123a2565975685875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.11520",
    "kind": "arxiv",
    "version": 6
  }
}