Pith Number

pith:C6MGNXA6

pith:2006:C6MGNXA64BEU43VBSKCYWSLWLE

not attested not anchored not stored refs pending

A few localisation theorems

Bruno Kahn (IMJ), R. Sujatha (TIFR)

arxiv:math/0610828 v3 · 2006-10-27 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6MGNXA64BEU43VBSKCYWSLWLE}

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	2026-05-18T04:41:05.439561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

179866dc1ee0494e6ea192858b4976592a42e6a57ef55e1a9fc26cff23137f63

Aliases

arxiv: math/0610828 · arxiv_version: math/0610828v3 · doi: 10.48550/arxiv.math/0610828 · pith_short_12: C6MGNXA64BEU · pith_short_16: C6MGNXA64BEU43VB · pith_short_8: C6MGNXA6

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/C6MGNXA64BEU43VBSKCYWSLWLE \
  | 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: 179866dc1ee0494e6ea192858b4976592a42e6a57ef55e1a9fc26cff23137f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e5d78e725280e262e46aa9249bd809fe4ab5f63fcaabbbf7382a3b346fcb62",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-10-27T06:49:44Z",
    "title_canon_sha256": "1b15424b3e6c87c1062a6d79999dc3e4cd813faaeab5f02fb2fbec5d118c4892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610828",
    "kind": "arxiv",
    "version": 3
  }
}