Pith Number

pith:A4QQXTJG

pith:2026:A4QQXTJGVZSBFAHJAZ7I7G7LAQ

not attested not anchored not stored refs pending

Which Holonomy Signatures Are Realizable? A Complete Answer for Closed Surfaces

Leyi Zhu

arxiv:2608.01444 v1 · 2026-08-02 · 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{A4QQXTJGVZSBFAHJAZ7I7G7LAQ}

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	2026-08-04T02:05:13.825776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07210bcd26ae641280e9067e8f9beb0435c829f9b70a1e38a97b3d240c5dfa8a

Aliases

arxiv: 2608.01444 · arxiv_version: 2608.01444v1 · doi: 10.48550/arxiv.2608.01444 · pith_short_12: A4QQXTJGVZSB · pith_short_16: A4QQXTJGVZSBFAHJ · pith_short_8: A4QQXTJG

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/A4QQXTJGVZSBFAHJAZ7I7G7LAQ \
  | 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: 07210bcd26ae641280e9067e8f9beb0435c829f9b70a1e38a97b3d240c5dfa8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "919332e3204910b27c9f15727cbd3a4c776fae039e5d536faeab3623285f7b35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-08-02T18:55:59Z",
    "title_canon_sha256": "85664a5090446bbb40aa58d5ab47db0ea7ca5e8d8fe2452886bf29eba281b6a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01444",
    "kind": "arxiv",
    "version": 1
  }
}