Pith Number

pith:IEQN76HH

pith:2026:IEQN76HHSVFV2CMYGOG56NNZYL

not attested not anchored not stored refs pending

Knotted surfaces with simply-connected complements

Audrick Pyronneau

arxiv:2607.15165 v1 · 2026-07-16 · 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{IEQN76HHSVFV2CMYGOG56NNZYL}

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	2026-07-17T01:22:12.579726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4120dff8e7954b5d0998338ddf35b9c2e072d7bed3bb9fa0c02b28bbd99172d6

Aliases

arxiv: 2607.15165 · arxiv_version: 2607.15165v1 · doi: 10.48550/arxiv.2607.15165 · pith_short_12: IEQN76HHSVFV · pith_short_16: IEQN76HHSVFV2CMY · pith_short_8: IEQN76HH

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/IEQN76HHSVFV2CMYGOG56NNZYL \
  | 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: 4120dff8e7954b5d0998338ddf35b9c2e072d7bed3bb9fa0c02b28bbd99172d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbdb5a1f1f02c19047373b467be85ba4b8c7be9da5a56ecbc1e33f2774a27234",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-16T16:14:23Z",
    "title_canon_sha256": "8b734944954fa81773b4ee6e5df93498518a99f40fe825a74413a8c94d0cea1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15165",
    "kind": "arxiv",
    "version": 1
  }
}