Pith Number

pith:S7JDYR2U

pith:2017:S7JDYR2UZWHJFDAANMKAUL6GZK

not attested not anchored not stored refs pending

Decomposition of degenerate Gromov-Witten invariants

Bernd Siebert, Dan Abramovich, Mark Gross, Qile Chen

arxiv:1709.09864 v4 · 2017-09-28 · 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{S7JDYR2UZWHJFDAANMKAUL6GZK}

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.

Cited by

1 paper in Pith

The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

Receipt and verification

First computed	2026-07-05T01:07:34.940862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97d23c4754cd8e928c006b140a2fc6caa4b0955b053ffbac5166b275f8659719

Aliases

arxiv: 1709.09864 · arxiv_version: 1709.09864v4 · doi: 10.48550/arxiv.1709.09864 · pith_short_12: S7JDYR2UZWHJ · pith_short_16: S7JDYR2UZWHJFDAA · pith_short_8: S7JDYR2U

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/S7JDYR2UZWHJFDAANMKAUL6GZK \
  | 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: 97d23c4754cd8e928c006b140a2fc6caa4b0955b053ffbac5166b275f8659719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "982bf9d265aebbb953a724183d2bb735cab48e1979f4505bfb85185c7a98dd37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-28T09:21:31Z",
    "title_canon_sha256": "a3e22b2c4c7efefebb76290fe1bfa645b38b2bb51a0d5db943892eae009ac70a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09864",
    "kind": "arxiv",
    "version": 4
  }
}