Pith Number

pith:TUT2XN63

pith:2012:TUT2XN63VZDTQGWJHOPRH73YEW

not attested not anchored not stored refs pending

Curve-counting invariants for crepant resolutions

David Steinberg, Jim Bryan

arxiv:1208.0884 v2 · 2012-08-04 · 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{TUT2XN63VZDTQGWJHOPRH73YEW}

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	2026-05-18T02:48:43.765070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d27abb7dbae47381ac93b9f13ff7825b170f2d5a954f485d89f74e20ac15338

Aliases

arxiv: 1208.0884 · arxiv_version: 1208.0884v2 · doi: 10.48550/arxiv.1208.0884 · pith_short_12: TUT2XN63VZDT · pith_short_16: TUT2XN63VZDTQGWJ · pith_short_8: TUT2XN63

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/TUT2XN63VZDTQGWJHOPRH73YEW \
  | 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: 9d27abb7dbae47381ac93b9f13ff7825b170f2d5a954f485d89f74e20ac15338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d364a6a2fe1230752df5cb393ecda4e9f38bae287198fcc5366dc2576fb18a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-04T04:17:56Z",
    "title_canon_sha256": "ebf8d745c3cc95b1f85736e903a06ff2141610c3a911b6d8da3665960f4b54ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0884",
    "kind": "arxiv",
    "version": 2
  }
}