Pith Number

pith:HA7BWT7V

pith:2007:HA7BWT7VKDBAFQMTIIEXMR7J77

not attested not anchored not stored refs pending

Smooth maps of a foliated manifold in a symplectic manifold

Mahuya Datta, Md. Rabiul Islam

arxiv:0706.3223 v1 · 2007-06-21 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HA7BWT7VKDBAFQMTIIEXMR7J77}

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	2026-05-18T04:40:20.896837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

383e1b4ff550c202c19342097647e9ffd2b1ad01623097ec52cb9f7780276f7c

Aliases

arxiv: 0706.3223 · arxiv_version: 0706.3223v1 · doi: 10.48550/arxiv.0706.3223 · pith_short_12: HA7BWT7VKDBA · pith_short_16: HA7BWT7VKDBAFQMT · pith_short_8: HA7BWT7V

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/HA7BWT7VKDBAFQMTIIEXMR7J77 \
  | 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: 383e1b4ff550c202c19342097647e9ffd2b1ad01623097ec52cb9f7780276f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "678e832332fee93f19427cf4f14119c883576f9241bf626e62a98c36fe8444af",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-06-21T21:05:14Z",
    "title_canon_sha256": "08ccd5c864ecb55b13c02a46ed02025c8a5849574b87ad9e0b2ef27c0c73b3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3223",
    "kind": "arxiv",
    "version": 1
  }
}