Pith Number

pith:BKS4BVXU

pith:2009:BKS4BVXUGXJNPBGJRPBLDIG6QN

not attested not anchored not stored refs pending

Invariants, torsion indices and oriented cohomology of complete flags

Baptiste Calm\`es, Kirill Zainoulline, Victor Petrov

arxiv:0905.1341 v2 · 2009-05-08 · math.AG · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKS4BVXUGXJNPBGJRPBLDIG6QN}

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	2026-05-18T03:32:32.152982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa5c0d6f435d2d784c98bc2b1a0de836684c7b9d6b2358201f034e139b568f9

Aliases

arxiv: 0905.1341 · arxiv_version: 0905.1341v2 · doi: 10.48550/arxiv.0905.1341 · pith_short_12: BKS4BVXUGXJN · pith_short_16: BKS4BVXUGXJNPBGJ · pith_short_8: BKS4BVXU

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/BKS4BVXUGXJNPBGJRPBLDIG6QN \
  | 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: 0aa5c0d6f435d2d784c98bc2b1a0de836684c7b9d6b2358201f034e139b568f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "128f927f96feca434538caf1846915373d448115cd6617c360ee6699eef494fb",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-08T21:00:32Z",
    "title_canon_sha256": "38d48673457d98d02c0a306cca06a43b0f35afa22932132b6e95c7fbdc93070d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1341",
    "kind": "arxiv",
    "version": 2
  }
}