Pith Number

pith:CG6KNGT2

pith:2006:CG6KNGT2TIKMVPJ4VKGQYIHT7Z

not attested not anchored not stored refs pending

Obtaining Exact Value by Approximate Computations

Jingzhong Zhang, Yong Feng

arxiv:math/0611915 v2 · 2006-11-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CG6KNGT2TIKMVPJ4VKGQYIHT7Z}

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	2026-05-18T01:38:23.523410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11bca69a7a9a14cabd3caa8d0c20f3fe5e0a9c26a084888d6a49d9388ca0fa95

Aliases

arxiv: math/0611915 · arxiv_version: math/0611915v2 · doi: 10.48550/arxiv.math/0611915 · pith_short_12: CG6KNGT2TIKM · pith_short_16: CG6KNGT2TIKMVPJ4 · pith_short_8: CG6KNGT2

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/CG6KNGT2TIKMVPJ4VKGQYIHT7Z \
  | 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: 11bca69a7a9a14cabd3caa8d0c20f3fe5e0a9c26a084888d6a49d9388ca0fa95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d2654b6df2fa29f9d57c02bad2966c189ab5b53275b8114d85e7aa57ea9b796",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-11-29T13:16:36Z",
    "title_canon_sha256": "188cd2801cbac4e3a55e0baaa711208f8fec2227d26417300c5e70c5c12aef40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611915",
    "kind": "arxiv",
    "version": 2
  }
}