Pith Number

pith:BXMZN7I3

pith:2012:BXMZN7I3UGY7L77AUWPXFHEMHH

not attested not anchored not stored refs pending

Pseudoholomorphic tori in the Kodaira-Thurston manifold

Jarek K\k{e}dra, Jonathan David Evans

arxiv:1205.1239 v3 · 2012-05-06 · 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{BXMZN7I3UGY7L77AUWPXFHEMHH}

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	2026-05-18T01:23:59.218300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd996fd1ba1b1f5ffe0a59f729c8c39f39c2feffbff4b9d1b92d82df473efd9

Aliases

arxiv: 1205.1239 · arxiv_version: 1205.1239v3 · doi: 10.48550/arxiv.1205.1239 · pith_short_12: BXMZN7I3UGY7 · pith_short_16: BXMZN7I3UGY7L77A · pith_short_8: BXMZN7I3

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/BXMZN7I3UGY7L77AUWPXFHEMHH \
  | 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: 0dd996fd1ba1b1f5ffe0a59f729c8c39f39c2feffbff4b9d1b92d82df473efd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5bc7a7fc01551945221e28f2ab258eea2a79bbba0bd9998c790fdd7417a56f5",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-05-06T19:36:45Z",
    "title_canon_sha256": "f911c7f190c3f796dabe54ece1cfe9879b5a636632c5a672006eb01ac12b2d70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1239",
    "kind": "arxiv",
    "version": 3
  }
}