Pith Number

pith:FLXIS7FT

pith:2007:FLXIS7FTPKQWZVN7VBIGV2SCDE

not attested not anchored not stored refs pending

Minimal Gromov--Witten ring

Victor Przyjalkowski

arxiv:0710.4084 v1 · 2007-10-22 · 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{FLXIS7FTPKQWZVN7VBIGV2SCDE}

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	2026-05-18T00:08:58.390144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aee897cb37aa16cd5bfa8506aea42192bb58128d737f16a62420f15c0fec942

Aliases

arxiv: 0710.4084 · arxiv_version: 0710.4084v1 · doi: 10.48550/arxiv.0710.4084 · pith_short_12: FLXIS7FTPKQW · pith_short_16: FLXIS7FTPKQWZVN7 · pith_short_8: FLXIS7FT

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/FLXIS7FTPKQWZVN7VBIGV2SCDE \
  | 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: 2aee897cb37aa16cd5bfa8506aea42192bb58128d737f16a62420f15c0fec942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36323c560515991b3134628888c595fa77468abb89684a4ba449f2f16da87a5c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-10-22T15:39:56Z",
    "title_canon_sha256": "f4d87e098922005d17d3386632e72a36a3c158ab92f67baa285a91039db92493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.4084",
    "kind": "arxiv",
    "version": 1
  }
}