Pith Number

pith:BL637UK6

pith:2012:BL637UK6C5IX5GROYN6GKDLMIO

not attested not anchored not stored refs pending

Distance-squared mappings

Shunsuke Ichiki, Takashi Nishimura

arxiv:1211.4966 v2 · 2012-11-21 · 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{BL637UK6C5IX5GROYN6GKDLMIO}

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	2026-05-18T03:29:37.482890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0afdbfd15e17517e9a2ec37c650d6c4387d2761fc51115df5996000a5b9e7235

Aliases

arxiv: 1211.4966 · arxiv_version: 1211.4966v2 · doi: 10.48550/arxiv.1211.4966 · pith_short_12: BL637UK6C5IX · pith_short_16: BL637UK6C5IX5GRO · pith_short_8: BL637UK6

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/BL637UK6C5IX5GROYN6GKDLMIO \
  | 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: 0afdbfd15e17517e9a2ec37c650d6c4387d2761fc51115df5996000a5b9e7235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdfe1797024958911e0f9863f3e67f8521b28efe729f0c953f9a3b9d47d42ef7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-21T09:00:27Z",
    "title_canon_sha256": "5d15cf1a633f98e178ff10b9039c2753f92dfa3a5546c0fdc8f0ef39030c740e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4966",
    "kind": "arxiv",
    "version": 2
  }
}