Pith Number

pith:I5MZZICW

pith:2017:I5MZZICW7OLCFRQEACYPSUC2FK

not attested not anchored not stored refs pending

The combinatorics of Lehn's conjecture

Alina Marian, Dragos Oprea, Rahul Pandharipande

arxiv:1708.08129 v2 · 2017-08-27 · 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{I5MZZICW7OLCFRQEACYPSUC2FK}

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	2026-05-18T00:18:36.122197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47599ca056fb9622c60400b0f9505a2a942ad265e470cc88c9502e72597cc6ad

Aliases

arxiv: 1708.08129 · arxiv_version: 1708.08129v2 · doi: 10.48550/arxiv.1708.08129 · pith_short_12: I5MZZICW7OLC · pith_short_16: I5MZZICW7OLCFRQE · pith_short_8: I5MZZICW

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/I5MZZICW7OLCFRQEACYPSUC2FK \
  | 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: 47599ca056fb9622c60400b0f9505a2a942ad265e470cc88c9502e72597cc6ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f74cf5fe0f2a5495ba27597f17d5c257bc72f9609d883f0e118bb5af54266b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-27T19:54:46Z",
    "title_canon_sha256": "9fe3f4b2d74d964a5ce9a7ab642dd3bb4c72e608750e16a1dc193280526319d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08129",
    "kind": "arxiv",
    "version": 2
  }
}