Pith Number

pith:NFQ6IT5V

pith:2025:NFQ6IT5VYMIDLJHZSDLF2FSOSO

not attested not anchored not stored refs pending

Arrangements of circles supported by small chords and compatible with natural real algebraic functions

Naoki Kitazawa

arxiv:2501.11819 v2 · 2025-01-21 · math.AG · math.CO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFQ6IT5VYMIDLJHZSDLF2FSOSO}

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	2026-07-05T10:22:12.297094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6961e44fb5c31035a4f990d65d164e93997ccef76431a948d93ce4579e8d8c58

Aliases

arxiv: 2501.11819 · arxiv_version: 2501.11819v2 · doi: 10.48550/arxiv.2501.11819 · pith_short_12: NFQ6IT5VYMID · pith_short_16: NFQ6IT5VYMIDLJHZ · pith_short_8: NFQ6IT5V

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/NFQ6IT5VYMIDLJHZSDLF2FSOSO \
  | 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: 6961e44fb5c31035a4f990d65d164e93997ccef76431a948d93ce4579e8d8c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf54d479dd2807885affa94df0e813b4a0ab00ea84708e1337fc46fbd4230ce",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-21T01:57:21Z",
    "title_canon_sha256": "c7f0e2c1d1be779cf6f5927e647af2d990497b8584f114528a72f8dfb64c5a9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11819",
    "kind": "arxiv",
    "version": 2
  }
}