Pith Number

pith:FP7IK52T

pith:2026:FP7IK52TWPXAWZZD5JVU5OE4QS

not attested not anchored not stored refs pending

Mazur's knot and the Octahedron

Jack S. Calcut, Yangyang Du

arxiv:2606.17335 v1 · 2026-06-15 · 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{FP7IK52TWPXAWZZD5JVU5OE4QS}

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	2026-06-19T16:10:09.535651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bfe857753b3ee0b6723ea6b4eb89c848abe1bc881e5bd1b99d229a335b179cf

Aliases

arxiv: 2606.17335 · arxiv_version: 2606.17335v1 · doi: 10.48550/arxiv.2606.17335 · pith_short_12: FP7IK52TWPXA · pith_short_16: FP7IK52TWPXAWZZD · pith_short_8: FP7IK52T

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/FP7IK52TWPXAWZZD5JVU5OE4QS \
  | 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: 2bfe857753b3ee0b6723ea6b4eb89c848abe1bc881e5bd1b99d229a335b179cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d295563050446e535a235b00aae5a2a78d1f0c5a43181aea4c412b815259e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-15T22:33:41Z",
    "title_canon_sha256": "8dad76cffda7c149a8af1e0cbf1fe185f64bf6a2956a841e0694f8d27d0c23cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17335",
    "kind": "arxiv",
    "version": 1
  }
}