Pith Number

pith:U4H6SBB7

pith:2011:U4H6SBB7K25D6KEIJWZQDT4AEX

not attested not anchored not stored refs pending

Potential density for some families of homogeneous spaces

J.-L. Colliot-Th\'el\`ene, J. N. Iyer

arxiv:1102.2377 v2 · 2011-02-11 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4H6SBB7K25D6KEIJWZQDT4AEX}

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	2026-05-18T04:28:19.574256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70fe9043f56ba3f28884db301cf8025c063cb375682e0e28b277f990acd1d62

Aliases

arxiv: 1102.2377 · arxiv_version: 1102.2377v2 · doi: 10.48550/arxiv.1102.2377 · pith_short_12: U4H6SBB7K25D · pith_short_16: U4H6SBB7K25D6KEI · pith_short_8: U4H6SBB7

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/U4H6SBB7K25D6KEIJWZQDT4AEX \
  | 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: a70fe9043f56ba3f28884db301cf8025c063cb375682e0e28b277f990acd1d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07990e2a8e6f9f23bdce6de19851e327634b7120ae9c7eee574f7f9024bbf1c2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-11T16:06:31Z",
    "title_canon_sha256": "85c09603c0c30ad4f6495a14db43e78649491352a460d0a437903e55a97be4a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2377",
    "kind": "arxiv",
    "version": 2
  }
}