Pith Number

pith:TKITKVTY

pith:2004:TKITKVTY7VB7GTLEL42NU34KXD

not attested not anchored not stored refs pending

Groups and Combinatorial Number Theory

Zhi-Wei Sun

arxiv:math/0411289 v1 · 2004-11-12 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKITKVTY7VB7GTLEL42NU34KXD}

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	2026-07-04T14:39:22.135241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a91355678fd43f34d645f34da6f8ab8de9090375e5e9660f25a6f0526d24d34

Aliases

arxiv: math/0411289 · arxiv_version: math/0411289v1 · doi: 10.48550/arxiv.math/0411289 · pith_short_12: TKITKVTY7VB7 · pith_short_16: TKITKVTY7VB7GTLE · pith_short_8: TKITKVTY

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/TKITKVTY7VB7GTLEL42NU34KXD \
  | 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: 9a91355678fd43f34d645f34da6f8ab8de9090375e5e9660f25a6f0526d24d34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614719b71e513c234e2dd0170ac54473f79476d8e992384685df3265b4f181e3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-11-12T15:57:36Z",
    "title_canon_sha256": "bc4644cfe4db61c9506d1aa506e05f922fc6e594504fca55d3aaef8d61bb52b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411289",
    "kind": "arxiv",
    "version": 1
  }
}