Pith Number

pith:G7XZPEHR

pith:2013:G7XZPEHRCPC6IIKVQWPBFQAOAR

not attested not anchored not stored refs pending

The effect of points fattening in dimension three

Thomas Bauer, Tomasz Szemberg

arxiv:1308.4983 v2 · 2013-08-22 · 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{G7XZPEHRCPC6IIKVQWPBFQAOAR}

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	2026-05-18T03:01:10.316469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ef9790f113c5e42155859e12c00e0440225c17c23a317ec5cac7f689ea1247

Aliases

arxiv: 1308.4983 · arxiv_version: 1308.4983v2 · doi: 10.48550/arxiv.1308.4983 · pith_short_12: G7XZPEHRCPC6 · pith_short_16: G7XZPEHRCPC6IIKV · pith_short_8: G7XZPEHR

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/G7XZPEHRCPC6IIKVQWPBFQAOAR \
  | 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: 37ef9790f113c5e42155859e12c00e0440225c17c23a317ec5cac7f689ea1247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6386b3c0ce9830b7c4895752add42277c4106d6d040d67ec8ddade5595d2ded0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-22T20:05:38Z",
    "title_canon_sha256": "e5a85249d76d13ddc09bf9db54419825a18c161418299ded965ffb7739bb8154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4983",
    "kind": "arxiv",
    "version": 2
  }
}