Pith Number

pith:5ZAOWDIE

pith:2015:5ZAOWDIEKAT63AI6RJP4AW34J2

not attested not anchored not stored refs pending

Universal cohomological expressions for singularities in families of genus 0 stable maps

Dimitri Zvonkine, Maxim Kazarian, Sergey Lando

arxiv:1512.03285 v1 · 2015-12-10 · 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{5ZAOWDIEKAT63AI6RJP4AW34J2}

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	2026-05-18T01:24:37.507079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee40eb0d045027ed811e8a5fc05b7c4e9b14529e7bd0211e88143be3fa21dbe5

Aliases

arxiv: 1512.03285 · arxiv_version: 1512.03285v1 · doi: 10.48550/arxiv.1512.03285 · pith_short_12: 5ZAOWDIEKAT6 · pith_short_16: 5ZAOWDIEKAT63AI6 · pith_short_8: 5ZAOWDIE

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/5ZAOWDIEKAT63AI6RJP4AW34J2 \
  | 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: ee40eb0d045027ed811e8a5fc05b7c4e9b14529e7bd0211e88143be3fa21dbe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d973437e3e98d8e33d9f8e14212bbf49cdac044307f250fb0deaaa8a7834e62e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-10T15:20:07Z",
    "title_canon_sha256": "560a425751a1801399da51e24f818831c3a2cc4ff42e51f54f482846c81d669b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03285",
    "kind": "arxiv",
    "version": 1
  }
}