Pith Number

pith:I2XKGMYN

pith:2006:I2XKGMYNWPHOVK24XTCOOWPHSD

not attested not anchored not stored refs pending

Homotopical finiteness of smooth and proper dg-algebras

B. Toen

arxiv:math/0609762 v3 · 2006-09-27 · math.AT · 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{I2XKGMYNWPHOVK24XTCOOWPHSD}

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.

Cited by

1 paper in Pith

Iterated traces in 2-categories and Lefschetz theorems

Receipt and verification

First computed	2026-07-04T15:03:25.464535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46aea3330db3ceeaab5cbcc4e759e790c342cb2f9db70df96f6561200ee35800

Aliases

arxiv: math/0609762 · arxiv_version: math/0609762v3 · doi: 10.48550/arxiv.math/0609762 · pith_short_12: I2XKGMYNWPHO · pith_short_16: I2XKGMYNWPHOVK24 · pith_short_8: I2XKGMYN

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/I2XKGMYNWPHOVK24XTCOOWPHSD \
  | 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: 46aea3330db3ceeaab5cbcc4e759e790c342cb2f9db70df96f6561200ee35800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32e4ba48d86cca75cd5395c171899f0e33acb6a905ce1f2f01aa200e25ba389a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-09-27T15:17:04Z",
    "title_canon_sha256": "cd140f1b586049ee31515a3d430af6412041126dcab97f741af885b7465aae1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609762",
    "kind": "arxiv",
    "version": 3
  }
}