Pith Number

pith:2H5AQ6TK

pith:2008:2H5AQ6TKHUS6SXXRARMW6UWLTX

not attested not anchored not stored refs pending

Free products, cyclic homology, and the Gauss-Manin connection

Boris Tsygan, Travis Schedler, Victor Ginzburg

arxiv:0803.3655 v4 · 2008-03-26 · math.KT · math.AG · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2H5AQ6TKHUS6SXXRARMW6UWLTX}

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	2026-05-18T03:48:46.829051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1fa087a6a3d25e95ef104596f52cb9dd0f49eddae71df8d630e2ce4d194a03d

Aliases

arxiv: 0803.3655 · arxiv_version: 0803.3655v4 · doi: 10.48550/arxiv.0803.3655 · pith_short_12: 2H5AQ6TKHUS6 · pith_short_16: 2H5AQ6TKHUS6SXXR · pith_short_8: 2H5AQ6TK

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/2H5AQ6TKHUS6SXXRARMW6UWLTX \
  | 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: d1fa087a6a3d25e95ef104596f52cb9dd0f49eddae71df8d630e2ce4d194a03d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2039dd33a17cf74e52b0d6cb76c5d5568cc762c4dca8dc9e888418af8062892a",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2008-03-26T19:59:28Z",
    "title_canon_sha256": "969ae21173aa79bdf7d9922c4d7dc8752e531d57489d938d6c764c0d53351a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3655",
    "kind": "arxiv",
    "version": 4
  }
}