Pith Number

pith:6L2DWDRI

pith:2010:6L2DWDRIYSUNUDNRLKCKFDLO5O

not attested not anchored not stored refs pending

Cohomology of Line Bundles: Proof of the Algorithm

Helmut Roschy, Thorsten Rahn

arxiv:1006.2392 v1 · 2010-06-11 · hep-th · math.AC · 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{6L2DWDRIYSUNUDNRLKCKFDLO5O}

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	2026-05-18T04:36:33.625122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f43b0e28c4a8da0db15a84a28d6eeb9405e3272e44932d45e6f948351a18fa

Aliases

arxiv: 1006.2392 · arxiv_version: 1006.2392v1 · doi: 10.48550/arxiv.1006.2392 · pith_short_12: 6L2DWDRIYSUN · pith_short_16: 6L2DWDRIYSUNUDNR · pith_short_8: 6L2DWDRI

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/6L2DWDRIYSUNUDNRLKCKFDLO5O \
  | 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: f2f43b0e28c4a8da0db15a84a28d6eeb9405e3272e44932d45e6f948351a18fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45b8b3c827db353f80f75337ff741e0b2536105e6c7e16276ce73be0d5e1a5c",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-06-11T20:11:31Z",
    "title_canon_sha256": "fd811fcac891d5d2fa8e60c58ae7466b604a759360e6acc83ed5c5190cdc9cd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2392",
    "kind": "arxiv",
    "version": 1
  }
}