Pith Number

pith:Y24B577H

pith:2026:Y24B577HOY4ZGOLDRCKTQIE26D

not attested not anchored not stored refs pending

Three thousand obstructions to knotless embedding

Andrei Pavelescu, Thomas W Mattman

arxiv:2607.01414 v1 · 2026-07-01 · 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{Y24B577HOY4ZGOLDRCKTQIE26D}

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	2026-07-03T00:16:59.673401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b81effe77639933963889538209af0fbfedb22026b8a61f5bbdb790f400b17

Aliases

arxiv: 2607.01414 · arxiv_version: 2607.01414v1 · doi: 10.48550/arxiv.2607.01414 · pith_short_12: Y24B577HOY4Z · pith_short_16: Y24B577HOY4ZGOLD · pith_short_8: Y24B577H

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/Y24B577HOY4ZGOLDRCKTQIE26D \
  | 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: c6b81effe77639933963889538209af0fbfedb22026b8a61f5bbdb790f400b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dafe52a61eff7b19ecc07efb8156a5d23507facaa47dd14ee833c896ea1432d0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-01T19:19:32Z",
    "title_canon_sha256": "da31f4111d9e1430f25ebe79d1b7905e80cec21c38f4e60d61e0b69eb33b535f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01414",
    "kind": "arxiv",
    "version": 1
  }
}