Pith Number

pith:KMMIDD7E

pith:2017:KMMIDD7EFKVGWH76WUF34MY7TA

not attested not anchored not stored refs pending

Gromov-Witten theory via Kuranishi structures

Kenji Fukaya, Mohammad Farajzadeh Tehrani

arxiv:1701.07821 v1 · 2017-01-26 · math.SG · 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{KMMIDD7EFKVGWH76WUF34MY7TA}

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	2026-05-18T00:52:02.532009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5318818fe42aaa6b1ffeb50bbe331f98191086486d0107d594498c5be8c14c7a

Aliases

arxiv: 1701.07821 · arxiv_version: 1701.07821v1 · doi: 10.48550/arxiv.1701.07821 · pith_short_12: KMMIDD7EFKVG · pith_short_16: KMMIDD7EFKVGWH76 · pith_short_8: KMMIDD7E

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/KMMIDD7EFKVGWH76WUF34MY7TA \
  | 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: 5318818fe42aaa6b1ffeb50bbe331f98191086486d0107d594498c5be8c14c7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d1a18c9a609226e52726c593ea92c9de5316268d9d9aadbfda938321620d61",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-01-26T18:55:50Z",
    "title_canon_sha256": "853f18f91c1ebd2ed07d59048f38ec5f63ed97a051fdd839719aafba820b22fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07821",
    "kind": "arxiv",
    "version": 1
  }
}