Pith Number

pith:P2YFL3OB

pith:2017:P2YFL3OBEZBGKHMJN3EKDE2LFF

not attested not anchored not stored refs pending

Chern classes and Gromov--Witten theory of projective bundles

Honglu Fan

arxiv:1705.07421 v2 · 2017-05-21 · 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{P2YFL3OBEZBGKHMJN3EKDE2LFF}

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	2026-05-18T00:43:39.077430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb055edc12642651d896ec8a1934b296afc8f798d77efbef9888636c23722b5

Aliases

arxiv: 1705.07421 · arxiv_version: 1705.07421v2 · doi: 10.48550/arxiv.1705.07421 · pith_short_12: P2YFL3OBEZBG · pith_short_16: P2YFL3OBEZBGKHMJ · pith_short_8: P2YFL3OB

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/P2YFL3OBEZBGKHMJN3EKDE2LFF \
  | 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: 7eb055edc12642651d896ec8a1934b296afc8f798d77efbef9888636c23722b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d328ec8bab8802a657a2a1b3bf708ae89794f35865c87166d74951d544ebbd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-21T09:46:50Z",
    "title_canon_sha256": "4c9929d3ba3e41d293141f4fe7454589efef6b3b33e424efdb062c00893700ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07421",
    "kind": "arxiv",
    "version": 2
  }
}