Pith Number

pith:NNVRPJ4L

pith:2007:NNVRPJ4LCODJ2UH3LMMVU2OCGU

not attested not anchored not stored refs pending

A note on relative duality for Voevodsky motives

Bruno Kahn (IMJ), Luca Barbieri-Viale

arxiv:math/0701782 v1 · 2007-01-26 · 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{NNVRPJ4LCODJ2UH3LMMVU2OCGU}

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	2026-05-18T04:41:05.432283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b6b17a78b13869d50fb5b195a69c2350c7758bf9d1761438bffb2a7f15dd75c

Aliases

arxiv: math/0701782 · arxiv_version: math/0701782v1 · doi: 10.48550/arxiv.math/0701782 · pith_short_12: NNVRPJ4LCODJ · pith_short_16: NNVRPJ4LCODJ2UH3 · pith_short_8: NNVRPJ4L

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/NNVRPJ4LCODJ2UH3LMMVU2OCGU \
  | 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: 6b6b17a78b13869d50fb5b195a69c2350c7758bf9d1761438bffb2a7f15dd75c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4f3c553d9581826d6ebda2250301ffbf7188e147937e1ed46998556cc7762e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-01-26T16:56:29Z",
    "title_canon_sha256": "f1eb292f3169ac40380693d31c83242a824147afaca7788da627bf8855934205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701782",
    "kind": "arxiv",
    "version": 1
  }
}