Pith Number

pith:V3JNQ5U5

pith:2016:V3JNQ5U5PGOD4UNPR77BVH5X6J

not attested not anchored not stored refs pending

Topological Fukaya category and mirror symmetry for punctured surfaces

James Pascaleff, Nicol\`o Sibilla

arxiv:1604.06448 v4 · 2016-04-21 · math.AT · math.AG · 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{V3JNQ5U5PGOD4UNPR77BVH5X6J}

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	2026-05-17T23:50:16.663114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aed2d8769d799c3e51af8ffe1a9fb7f260da5b836071014001c695f7d8dc35c2

Aliases

arxiv: 1604.06448 · arxiv_version: 1604.06448v4 · doi: 10.48550/arxiv.1604.06448 · pith_short_12: V3JNQ5U5PGOD · pith_short_16: V3JNQ5U5PGOD4UNP · pith_short_8: V3JNQ5U5

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/V3JNQ5U5PGOD4UNPR77BVH5X6J \
  | 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: aed2d8769d799c3e51af8ffe1a9fb7f260da5b836071014001c695f7d8dc35c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be570efee5488f342cd9755c552b77bcb3241dc46d64405e9e65b4fbdc824e24",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-04-21T19:58:31Z",
    "title_canon_sha256": "317227b620acf8302d9c513f467ebf44cce105c173acdb6041144ef1a10874b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06448",
    "kind": "arxiv",
    "version": 4
  }
}