Pith Number

pith:2TDEJFDK

pith:2014:2TDEJFDK3GEOMF56Y2LPVHSPRW

not attested not anchored not stored refs pending

Curve counting on K3 x E, the Igusa cusp form chi_{10}, and descendent integration

G. Oberdieck, R. Pandharipande

arxiv:1411.1514 v4 · 2014-11-06 · 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{2TDEJFDK3GEOMF56Y2LPVHSPRW}

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	2026-05-18T01:37:02.069194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c644946ad988e617bec696fa9e4f8db23ca3a8518c42d03068647c9eaf569b

Aliases

arxiv: 1411.1514 · arxiv_version: 1411.1514v4 · doi: 10.48550/arxiv.1411.1514 · pith_short_12: 2TDEJFDK3GEO · pith_short_16: 2TDEJFDK3GEOMF56 · pith_short_8: 2TDEJFDK

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/2TDEJFDK3GEOMF56Y2LPVHSPRW \
  | 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: d4c644946ad988e617bec696fa9e4f8db23ca3a8518c42d03068647c9eaf569b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b96b1dc68727b69dea905c4250331606acc1c7a7f7a9896ce10acae24b81c02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-06T07:49:10Z",
    "title_canon_sha256": "35dc4017cd5bf0444439ca50bacdcf65d6c842d5ee13b43da83badbcda9ba5c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1514",
    "kind": "arxiv",
    "version": 4
  }
}