Pith Number

pith:ZPFTWPZE

pith:2004:ZPFTWPZE5CEHIJG7WRTAIZDHWR

not attested not anchored not stored refs pending

Local structure of generalized complex manifolds

Mitya Boyarchenko, Mohammed Abouzaid

arxiv:math/0412084 v1 · 2004-12-04 · math.DG · 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{ZPFTWPZE5CEHIJG7WRTAIZDHWR}

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.

Cited by

1 paper in Pith

Advancements in Functorial Homological Mirror Symmetry

Receipt and verification

First computed	2026-07-04T14:39:25.845175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbcb3b3f24e8887424dfb466046467b47db7fb8d393e507dc6cdf6ea8aa4c3a9

Aliases

arxiv: math/0412084 · arxiv_version: math/0412084v1 · doi: 10.48550/arxiv.math/0412084 · pith_short_12: ZPFTWPZE5CEH · pith_short_16: ZPFTWPZE5CEHIJG7 · pith_short_8: ZPFTWPZE

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/ZPFTWPZE5CEHIJG7WRTAIZDHWR \
  | 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: cbcb3b3f24e8887424dfb466046467b47db7fb8d393e507dc6cdf6ea8aa4c3a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d148be0791ee7c898d2eecb5c2eff2000b5e4815418a12eedffa55103c539f9",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-12-04T00:29:05Z",
    "title_canon_sha256": "8f19b23d14cfdc3e78a0b155e84bf75f5e64f1ffc1107d7fdf827be2c78abf98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412084",
    "kind": "arxiv",
    "version": 1
  }
}