Pith Number

pith:7ZITSMYW

pith:2009:7ZITSMYWTPKHGL7QFRVUYARDLS

not attested not anchored not stored refs pending

Schubert calculus for algebraic cobordism

Jens Hornbostel, Valentina Kiritchenko

arxiv:0903.3936 v3 · 2009-03-23 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZITSMYWTPKHGL7QFRVUYARDLS}

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	2026-05-18T02:50:24.658066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe513933169bd4732ff02c6b4c02235c85970f8c20f1ab40001fa3dabbe969a5

Aliases

arxiv: 0903.3936 · arxiv_version: 0903.3936v3 · doi: 10.48550/arxiv.0903.3936 · pith_short_12: 7ZITSMYWTPKH · pith_short_16: 7ZITSMYWTPKHGL7Q · pith_short_8: 7ZITSMYW

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/7ZITSMYWTPKHGL7QFRVUYARDLS \
  | 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: fe513933169bd4732ff02c6b4c02235c85970f8c20f1ab40001fa3dabbe969a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de993a9796334f29356dcae98a308d9ecfa6c64ccd890c33466a9260b4e6b7bb",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-23T19:33:44Z",
    "title_canon_sha256": "83974e4fc3b30f83ba30ab5b9666cca66041c9387417c7cc43b09d74d3660887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3936",
    "kind": "arxiv",
    "version": 3
  }
}