Pith Number

pith:5R4YS6O4

pith:2011:5R4YS6O47I2JJRFEA5QDY2ABSE

not attested not anchored not stored refs pending

Three lectures on Cox rings

Juergen Hausen

arxiv:1106.0854 v2 · 2011-06-04 · 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{5R4YS6O47I2JJRFEA5QDY2ABSE}

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	2026-05-18T03:25:46.757406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec798979dcfa3494c4a407603c68019112e949e150d54f9f069a0f8d32ebf6ef

Aliases

arxiv: 1106.0854 · arxiv_version: 1106.0854v2 · doi: 10.48550/arxiv.1106.0854 · pith_short_12: 5R4YS6O47I2J · pith_short_16: 5R4YS6O47I2JJRFE · pith_short_8: 5R4YS6O4

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/5R4YS6O47I2JJRFEA5QDY2ABSE \
  | 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: ec798979dcfa3494c4a407603c68019112e949e150d54f9f069a0f8d32ebf6ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b37c6411092a9e33fd3eac8c2bca1771b054004b053c68d41f1feb35b8c67c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-04T19:59:27Z",
    "title_canon_sha256": "cc8406657241d628b1d662a568065abe81a45b7b6907266e9dc856da741ce6dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0854",
    "kind": "arxiv",
    "version": 2
  }
}