Pith Number

pith:TUHJGNWT

pith:2007:TUHJGNWTIRN2EQCPWIQVZ6P3LW

not attested not anchored not stored refs pending

Symplectic hypersurfaces and transversality in Gromov-Witten theory

Kai Cieliebak, Klaus Mohnke

arxiv:math/0702887 v2 · 2007-02-28 · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUHJGNWTIRN2EQCPWIQVZ6P3LW}

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	2026-07-04T15:10:56.149372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d0e9336d3445ba2404fb2215cf9fb5d9212d7332fffec76be44c50281aca600

Aliases

arxiv: math/0702887 · arxiv_version: math/0702887v2 · doi: 10.48550/arxiv.math/0702887 · pith_short_12: TUHJGNWTIRN2 · pith_short_16: TUHJGNWTIRN2EQCP · pith_short_8: TUHJGNWT

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/TUHJGNWTIRN2EQCPWIQVZ6P3LW \
  | 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: 9d0e9336d3445ba2404fb2215cf9fb5d9212d7332fffec76be44c50281aca600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a59b927b90fcd4bdb62948d3f123c008146bfb866280c5ad304d57400f989a8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2007-02-28T15:58:52Z",
    "title_canon_sha256": "64dbc4c9483371ad8f611b572e20d95e5539a1a931337ddf1a7ce3f4f890cbf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702887",
    "kind": "arxiv",
    "version": 2
  }
}