Pith Number

pith:545LGYD3

pith:2025:545LGYD3OJOA7M237LFDMDIEKC

not attested not anchored not stored refs pending

Hyperbolic small knots in spherical manifolds

Kazuhiro Ichihara

arxiv:2506.01041 v1 · 2025-06-01 · 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{545LGYD3OJOA7M237LFDMDIEKC}

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	2026-07-05T11:13:44.991238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef3ab3607b725c0fb35bfaca360d04508496a0acf3807be73af729874527da41

Aliases

arxiv: 2506.01041 · arxiv_version: 2506.01041v1 · doi: 10.48550/arxiv.2506.01041 · pith_short_12: 545LGYD3OJOA · pith_short_16: 545LGYD3OJOA7M23 · pith_short_8: 545LGYD3

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/545LGYD3OJOA7M237LFDMDIEKC \
  | 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: ef3ab3607b725c0fb35bfaca360d04508496a0acf3807be73af729874527da41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa3ae9a908a776cee183450a56609ff7394406c591072ab578e704f90032f2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-01T14:55:15Z",
    "title_canon_sha256": "0f4b9c624ad7de1bc2d2c4ae5a89b6af4f86f577be5d80d50593be0990cca477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01041",
    "kind": "arxiv",
    "version": 1
  }
}