Pith Number

pith:INRXXXEJ

pith:1992:INRXXXEJ2SLG6WXBFWHMYPV57Q

not attested not anchored not stored refs pending

Lifting of cohomology and unobstructedness of certain holomorphic maps

Ziv Ran

arxiv:math/9201267 v1 · 1992-01-01 · math.CV · 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{INRXXXEJ2SLG6WXBFWHMYPV57Q}

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	2026-05-18T01:05:54.594255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43637bdc89d4966f5ae12d8ecc3ebdfc11a3881fbda80cee55fdf0374b34a8d1

Aliases

arxiv: math/9201267 · arxiv_version: math/9201267v1 · doi: 10.48550/arxiv.math/9201267 · pith_short_12: INRXXXEJ2SLG · pith_short_16: INRXXXEJ2SLG6WXB · pith_short_8: INRXXXEJ

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/INRXXXEJ2SLG6WXBFWHMYPV57Q \
  | 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: 43637bdc89d4966f5ae12d8ecc3ebdfc11a3881fbda80cee55fdf0374b34a8d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edfe7c706f2b04bcd46cab93858090459872a918ea4249df49814765838f599f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "1992-01-01T00:00:00Z",
    "title_canon_sha256": "e82415dbd98212e28a7b1723478c542fbafb6307dec0a09361c34187c84a2a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201267",
    "kind": "arxiv",
    "version": 1
  }
}