Pith Number

pith:WO5POPR2

pith:2008:WO5POPR2KT2L3SBOLUWQSEOAMX

not attested not anchored not stored refs pending

A local families index formula for d-bar operators on punctured Riemann surfaces

Frederic Rochon, Pierre Albin

arxiv:0801.2127 v2 · 2008-01-14 · math.DG · 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{WO5POPR2KT2L3SBOLUWQSEOAMX}

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	2026-05-18T02:16:01.903913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3baf73e3a54f4bdc82e5d2d0911c065f27588e7de1a634db4c6beee3024327d

Aliases

arxiv: 0801.2127 · arxiv_version: 0801.2127v2 · doi: 10.48550/arxiv.0801.2127 · pith_short_12: WO5POPR2KT2L · pith_short_16: WO5POPR2KT2L3SBO · pith_short_8: WO5POPR2

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/WO5POPR2KT2L3SBOLUWQSEOAMX \
  | 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: b3baf73e3a54f4bdc82e5d2d0911c065f27588e7de1a634db4c6beee3024327d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "266ffd21f5edc820816b00a083c5298606ff8415ef4b89c65f550dd2e9c4f9bc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-01-14T18:26:27Z",
    "title_canon_sha256": "09991d47fde47f2a07704afaf32cc49ebd31c47ebc81ea083eab4cbe1cac3d7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2127",
    "kind": "arxiv",
    "version": 2
  }
}