Pith Number

pith:3MEKVCAN

pith:2016:3MEKVCANCOYR7MJ7OIMQB2DLTY

not attested not anchored not stored refs pending

Notes on exploded manifolds and a tropical gluing formula for Gromov-WItten invariants

Brett Parker

arxiv:1605.00577 v2 · 2016-05-02 · math.SG · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MEKVCANCOYR7MJ7OIMQB2DLTY}

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	2026-05-18T00:43:09.438356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db08aa880d13b11fb13f721900e86b9e1223a975b0ad4f7e59892a4854df6f8e

Aliases

arxiv: 1605.00577 · arxiv_version: 1605.00577v2 · doi: 10.48550/arxiv.1605.00577 · pith_short_12: 3MEKVCANCOYR · pith_short_16: 3MEKVCANCOYR7MJ7 · pith_short_8: 3MEKVCAN

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/3MEKVCANCOYR7MJ7OIMQB2DLTY \
  | 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: db08aa880d13b11fb13f721900e86b9e1223a975b0ad4f7e59892a4854df6f8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7764aae6344e8485161580d87468f3547541a96155b656b90fa5be174b0303b0",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-05-02T17:40:12Z",
    "title_canon_sha256": "b98d632871ffe36c0296488f499391934475028e50f2e7b9f249b36de51a6eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00577",
    "kind": "arxiv",
    "version": 2
  }
}