Pith Number

pith:FTG3M5NI

pith:1995:FTG3M5NICACB4CHNTIQFF4QINQ

not attested not anchored not stored refs pending

Koszul duality and Galois cohomology

Alexander Vishik, Leonid Positselski

arxiv:alg-geom/9507010 v2 · 1995-07-11 · alg-geom · 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{FTG3M5NICACB4CHNTIQFF4QINQ}

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	2026-05-18T03:08:38.795817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ccdb675a810041e08ed9a2052f2086c3af195d9b79bf75afa132401b72bf1ec

Aliases

arxiv: alg-geom/9507010 · arxiv_version: alg-geom/9507010v2 · doi: 10.48550/arxiv.alg-geom/9507010 · pith_short_12: FTG3M5NICACB · pith_short_16: FTG3M5NICACB4CHN · pith_short_8: FTG3M5NI

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/FTG3M5NICACB4CHNTIQFF4QINQ \
  | 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: 2ccdb675a810041e08ed9a2052f2086c3af195d9b79bf75afa132401b72bf1ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd8cf4ddd7984b38f4bff60e96847efe9ca9b4af5de227b558026a7f02bf1d5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1995-07-11T23:07:32Z",
    "title_canon_sha256": "15dc62cf2c24ef3e89fc9f73425f700db55952618e2b07be450caaa7d6a21707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9507010",
    "kind": "arxiv",
    "version": 2
  }
}