Pith Number

pith:H5TCDKYR

pith:2003:H5TCDKYRLI7LYGBZIV6AFEDYU7

not attested not anchored not stored refs pending

On 4-fold covering moves

Nikos Apostolakis

arxiv:math/0302225 v2 · 2003-02-19 · 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{H5TCDKYRLI7LYGBZIV6AFEDYU7}

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	2026-05-18T02:41:32.743710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f6621ab115a3ebc1839457c029078a7c1a63f046eaea7af220986e222aa928a

Aliases

arxiv: math/0302225 · arxiv_version: math/0302225v2 · doi: 10.48550/arxiv.math/0302225 · pith_short_12: H5TCDKYRLI7L · pith_short_16: H5TCDKYRLI7LYGBZ · pith_short_8: H5TCDKYR

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/H5TCDKYRLI7LYGBZIV6AFEDYU7 \
  | 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: 3f6621ab115a3ebc1839457c029078a7c1a63f046eaea7af220986e222aa928a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cac93b76bcbf8c9907459e8e37f9d88cde0c219f53fb415624fa61a0d066053",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-02-19T11:15:56Z",
    "title_canon_sha256": "071e1df3f1187f63a86cdf30df88f2250d53fefb458eaf279fe6de1135e6bf2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302225",
    "kind": "arxiv",
    "version": 2
  }
}