Pith Number

pith:CE2DDI3L

pith:2015:CE2DDI3LRQWWZSJ6KAH474MMMR

not attested not anchored not stored refs pending

Superabundant curves and the Artin fan

Dhruv Ranganathan

arxiv:1504.08199 v2 · 2015-04-30 · 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{CE2DDI3LRQWWZSJ6KAH474MMMR}

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	2026-05-18T00:42:13.615365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

113431a36b8c2d6cc93e500fcff18c6478a6b6f12e4a4b16fd8d754637000093

Aliases

arxiv: 1504.08199 · arxiv_version: 1504.08199v2 · doi: 10.48550/arxiv.1504.08199 · pith_short_12: CE2DDI3LRQWW · pith_short_16: CE2DDI3LRQWWZSJ6 · pith_short_8: CE2DDI3L

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/CE2DDI3LRQWWZSJ6KAH474MMMR \
  | 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: 113431a36b8c2d6cc93e500fcff18c6478a6b6f12e4a4b16fd8d754637000093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3770563c1b7e79e3d61a54eaa4c9ff36ffc930b81c22bf0424a82652e484f6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-30T12:51:46Z",
    "title_canon_sha256": "e9e227e5adfd34871ee8635c49c7d995cda17a4242fb159001e724fe7ace03f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08199",
    "kind": "arxiv",
    "version": 2
  }
}