Pith Number

pith:JUZAHABR

pith:2025:JUZAHABRQPVXU6GHHVSG5ROGKT

not attested not anchored not stored refs pending

Knots and non-orientable surfaces in 3-manifolds

Alessia Cattabriga, Paolo Cavicchioli, Rama Mishra, Visakh Narayanan

arxiv:2502.06984 v2 · 2025-02-10 · 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{JUZAHABRQPVXU6GHHVSG5ROGKT}

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	2026-07-05T10:22:56.793530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d3203803183eb7a78c73d646ec5c654c54f8ceb3b5989f588dd8d63ce0143d7

Aliases

arxiv: 2502.06984 · arxiv_version: 2502.06984v2 · doi: 10.48550/arxiv.2502.06984 · pith_short_12: JUZAHABRQPVX · pith_short_16: JUZAHABRQPVXU6GH · pith_short_8: JUZAHABR

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/JUZAHABRQPVXU6GHHVSG5ROGKT \
  | 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: 4d3203803183eb7a78c73d646ec5c654c54f8ceb3b5989f588dd8d63ce0143d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7662a09bbeb223a45faa8826c9d5c796ffd1654591fcc7c37710b6f3667e5a9a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-02-10T19:22:34Z",
    "title_canon_sha256": "fda9ba294a646d7fa16da9226c6d6268520919a51e1e52db18022875d9e1b3e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06984",
    "kind": "arxiv",
    "version": 2
  }
}