Pith Number

pith:Y2IJ4J2Y

pith:2016:Y2IJ4J2YKPARHXLIJXFMC4KMYK

not attested not anchored not stored refs pending

Cotangent Bundle to the Flag Variety - II

Rahul Singh, Venkatramani Lakshmibai

arxiv:1612.06773 v2 · 2016-12-20 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2IJ4J2YKPARHXLIJXFMC4KMYK}

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	2026-05-18T00:44:51.847231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6909e275853c113dd684dcac1714cc2a494d818394b605f09361b7a15e512c6

Aliases

arxiv: 1612.06773 · arxiv_version: 1612.06773v2 · doi: 10.48550/arxiv.1612.06773 · pith_short_12: Y2IJ4J2YKPAR · pith_short_16: Y2IJ4J2YKPARHXLI · pith_short_8: Y2IJ4J2Y

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/Y2IJ4J2YKPARHXLIJXFMC4KMYK \
  | 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: c6909e275853c113dd684dcac1714cc2a494d818394b605f09361b7a15e512c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e35768fa174c0ad20580769dc361c19f1ae3b4ebce828ab5b98de20a73944a6e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-20T17:31:36Z",
    "title_canon_sha256": "5b9efa1c0b646f6eea876544d4b27a429e384af91cf710cf33e6057a17f228ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06773",
    "kind": "arxiv",
    "version": 2
  }
}