Pith Number

pith:77LXJRAY

pith:2016:77LXJRAY3O6B3MZPS3GGKHNEWN

not attested not anchored not stored refs pending

Homological mirror symmetry for open Riemann surfaces from pair-of-pants decompositions

Heather Lee

arxiv:1608.04473 v1 · 2016-08-16 · 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{77LXJRAY3O6B3MZPS3GGKHNEWN}

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	2026-05-18T01:08:37.154306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd774c418dbbc1db32f96cc651da4b34b91c5e0a4fd71e630b2b8fd8049fe3d

Aliases

arxiv: 1608.04473 · arxiv_version: 1608.04473v1 · doi: 10.48550/arxiv.1608.04473 · pith_short_12: 77LXJRAY3O6B · pith_short_16: 77LXJRAY3O6B3MZP · pith_short_8: 77LXJRAY

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/77LXJRAY3O6B3MZPS3GGKHNEWN \
  | 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: ffd774c418dbbc1db32f96cc651da4b34b91c5e0a4fd71e630b2b8fd8049fe3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceb0494262a9f886681f25f9f6445d5e6e69f9004d32e9025699d38fb7b67ca9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-08-16T03:48:26Z",
    "title_canon_sha256": "285b935c18709bf569753e8af8aff325dc7e90963005977ae9ab62f73ed641a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04473",
    "kind": "arxiv",
    "version": 1
  }
}