Pith Number

pith:5P7DQHLQ

pith:2021:5P7DQHLQQ2JTY2XCMVYXQ52CR7

not attested not anchored not stored refs pending

Corks, covers, and complex curves

Kyle Hayden

arxiv:2107.06856 v1 · 2021-07-14 · math.GT · math.CV · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5P7DQHLQQ2JTY2XCMVYXQ52CR7}

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

Lecture notes on link homologies and knotted surfaces

Receipt and verification

First computed	2026-07-05T02:58:02.100692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebfe381d7086933c6ae265717877428fdeede30abf69337ceed0ce1c3cdf3ec5

Aliases

arxiv: 2107.06856 · arxiv_version: 2107.06856v1 · doi: 10.48550/arxiv.2107.06856 · pith_short_12: 5P7DQHLQQ2JT · pith_short_16: 5P7DQHLQQ2JTY2XC · pith_short_8: 5P7DQHLQ

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/5P7DQHLQQ2JTY2XCMVYXQ52CR7 \
  | 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: ebfe381d7086933c6ae265717877428fdeede30abf69337ceed0ce1c3cdf3ec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e36baf0836e5f6078c053774e33011a44d3bf65492c94141bd4762dfcb20d6b4",
    "cross_cats_sorted": [
      "math.CV",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-07-14T17:21:45Z",
    "title_canon_sha256": "0ba58876a71cb02068699873e59f4f50aa73713a19a2d44fe676220ec2c54869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06856",
    "kind": "arxiv",
    "version": 1
  }
}