Pith Number

pith:6CWELLOE

pith:2000:6CWELLOEIQDEUY5P3XR5ABRKKB

not attested not anchored not stored refs pending

Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces

Robert L. Bryant

arxiv:math/0006186 v2 · 2000-06-24 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CWELLOEIQDEUY5P3XR5ABRKKB}

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.

Cited by

1 paper in Pith

Using Large Language Models to Study Mathematical Practice

Receipt and verification

First computed	2026-07-04T14:34:34.824792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ac45adc444064a63afdde3d0062a504680e2b0be8a5ce1f589c1d8810fd092

Aliases

arxiv: math/0006186 · arxiv_version: math/0006186v2 · doi: 10.48550/arxiv.math/0006186 · pith_short_12: 6CWELLOEIQDE · pith_short_16: 6CWELLOEIQDEUY5P · pith_short_8: 6CWELLOE

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/6CWELLOEIQDEUY5P3XR5ABRKKB \
  | 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: f0ac45adc444064a63afdde3d0062a504680e2b0be8a5ce1f589c1d8810fd092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0eb60923338e3de5f6acb64019b2b9d5e36e0023ffe34e97e161ed742f7b3a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2000-06-24T20:37:18Z",
    "title_canon_sha256": "1fa912adafd9af8e1474930055dfc21fdcf32973adc050b71e27fa5060a79cbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0006186",
    "kind": "arxiv",
    "version": 2
  }
}