Pith Number

pith:UAJURWVI

pith:2026:UAJURWVIFO2FNOSYG74ZX3SUYL

not attested not anchored not stored refs pending

Braid closure union braid axis is ribbon concordance minimal

Benjamin Daniels

arxiv:2607.14030 v1 · 2026-07-15 · 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{UAJURWVIFO2FNOSYG74ZX3SUYL}

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	2026-07-16T01:23:20.534528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a01348daa82bb456ba5837f99bee54c2fd86400f8b87f3751f0153d2a546af8b

Aliases

arxiv: 2607.14030 · arxiv_version: 2607.14030v1 · doi: 10.48550/arxiv.2607.14030 · pith_short_12: UAJURWVIFO2F · pith_short_16: UAJURWVIFO2FNOSY · pith_short_8: UAJURWVI

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/UAJURWVIFO2FNOSYG74ZX3SUYL \
  | 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: a01348daa82bb456ba5837f99bee54c2fd86400f8b87f3751f0153d2a546af8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34c0789af868d70360f0ff379442407fb32f2dcffaf49f365a9ba37fc8df2943",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-15T16:58:26Z",
    "title_canon_sha256": "0d9d06917c815de9fb3d42df53c71aa8971fa922338ed1b27f48d836ca7d1fba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14030",
    "kind": "arxiv",
    "version": 1
  }
}