Pith Number

pith:P35LKHDX

pith:2016:P35LKHDXXEL7MB3ASLT4FCUOIW

not attested not anchored not stored refs pending

Gromov-Witten theory of $\mathrm{K3} \times \mathbb{P}^1$ and quasi-Jacobi forms

Georg Oberdieck

arxiv:1605.05238 v2 · 2016-05-17 · 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{P35LKHDXXEL7MB3ASLT4FCUOIW}

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	2026-05-18T00:33:02.492472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7efab51c77b917f6076092e7c28a8e45bdf2bca3b373bd23e66595fe1918d7f6

Aliases

arxiv: 1605.05238 · arxiv_version: 1605.05238v2 · doi: 10.48550/arxiv.1605.05238 · pith_short_12: P35LKHDXXEL7 · pith_short_16: P35LKHDXXEL7MB3A · pith_short_8: P35LKHDX

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/P35LKHDXXEL7MB3ASLT4FCUOIW \
  | 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: 7efab51c77b917f6076092e7c28a8e45bdf2bca3b373bd23e66595fe1918d7f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "095a68be43373b3caf966a9b36e94a4db1ad88994fe629bf5558541eaad85e20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-17T17:02:03Z",
    "title_canon_sha256": "9742d4f964c66f0023ff6f745840c21f8665f02b6953938fa2f687583dd9c0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05238",
    "kind": "arxiv",
    "version": 2
  }
}