Pith Number

pith:C7PV6323

pith:2011:C7PV6323HFVHJLEKJLXEIE5SLE

not attested not anchored not stored refs pending

How to recognise a 4-ball when you see one

Hansj\"org Geiges, Kai Zehmisch

arxiv:1104.1543 v3 · 2011-04-08 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7PV6323HFVHJLEKJLXEIE5SLE}

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	2026-05-17T23:51:49.911709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17df5f6f5b396a74ac8a4aee4413b25915f04c9f103bb54d059cbb894ed419a7

Aliases

arxiv: 1104.1543 · arxiv_version: 1104.1543v3 · doi: 10.48550/arxiv.1104.1543 · pith_short_12: C7PV6323HFVH · pith_short_16: C7PV6323HFVHJLEK · pith_short_8: C7PV6323

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/C7PV6323HFVHJLEKJLXEIE5SLE \
  | 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: 17df5f6f5b396a74ac8a4aee4413b25915f04c9f103bb54d059cbb894ed419a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a386e97b30567eff03496851c9d156668af5dfdf217ed1ba2c74bd60d149e81c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-04-08T11:04:17Z",
    "title_canon_sha256": "eef645118af6a4f6ecdf6ffc162d62bf78a2e312a7c489296acbb2d7977c0238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1543",
    "kind": "arxiv",
    "version": 3
  }
}