Pith Number

pith:CHCPM76R

pith:2023:CHCPM76RF3Y4FNGSJAF7AKQX5N

not attested not anchored not stored refs pending

One stabilization is not enough for closed knotted surfaces

Anubhav Mukherjee, Kyle Hayden, Sungkyung Kang

arxiv:2304.01504 v1 · 2023-04-04 · 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{CHCPM76RF3Y4FNGSJAF7AKQX5N}

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

1 paper in Pith

Exotic disks and singular instanton Floer homology

Receipt and verification

First computed	2026-07-05T05:57:41.122242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c4f67fd12ef1c2b4d2480bf02a17eb6844bed6992df72ec092455adab91be2

Aliases

arxiv: 2304.01504 · arxiv_version: 2304.01504v1 · doi: 10.48550/arxiv.2304.01504 · pith_short_12: CHCPM76RF3Y4 · pith_short_16: CHCPM76RF3Y4FNGS · pith_short_8: CHCPM76R

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/CHCPM76RF3Y4FNGSJAF7AKQX5N \
  | 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: 11c4f67fd12ef1c2b4d2480bf02a17eb6844bed6992df72ec092455adab91be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f43c789ff9f00a4f9e872d15b4c7fccc6fc0fb94e46b401c51aa75e0c5c441d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-04-04T03:30:14Z",
    "title_canon_sha256": "c39adf4761fe68b17c154ccf751a165ced50c8b963e8ada9b68781cb40472026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.01504",
    "kind": "arxiv",
    "version": 1
  }
}