Pith Number

pith:V5IFEJTA

pith:2010:V5IFEJTARSGEYN252BN7ZVPLCW

not attested not anchored not stored refs pending

Cohomology of real Grassmann manifold and KP flow

Luis Casian, Yuji Kodama

arxiv:1011.2134 v1 · 2010-11-09 · math.AG · math-ph · math.AT · math.CO · math.MP · math.RT · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5IFEJTARSGEYN252BN7ZVPLCW}

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	2026-05-18T04:36:42.508857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af505226608c8c4c375dd05bfcd5eb158e192210654d8e013f01a0e89730ba53

Aliases

arxiv: 1011.2134 · arxiv_version: 1011.2134v1 · doi: 10.48550/arxiv.1011.2134 · pith_short_12: V5IFEJTARSGE · pith_short_16: V5IFEJTARSGEYN25 · pith_short_8: V5IFEJTA

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/V5IFEJTARSGEYN252BN7ZVPLCW \
  | 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: af505226608c8c4c375dd05bfcd5eb158e192210654d8e013f01a0e89730ba53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5051afac24f056e3f4266f388f9d3cfeb3a587f5c55bbd2d79550077a446be24",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.CO",
      "math.MP",
      "math.RT",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-09T16:25:09Z",
    "title_canon_sha256": "a5f895a8be9190007109be0d8625a27074bf571ede206fb0d47adbcf30358402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2134",
    "kind": "arxiv",
    "version": 1
  }
}