Pith Number

pith:BIC73JWM

pith:2005:BIC73JWMOFZO3IVHCURV6ZN6PI

not attested not anchored not stored refs pending

Convexity theorems for varieties invariant under a Borel subgroup

Reyer Sjamaar, Victor Guillemin

arxiv:math/0504537 v2 · 2005-04-26 · math.SG · 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{BIC73JWMOFZO3IVHCURV6ZN6PI}

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	2026-05-18T04:37:23.153690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a05fda6cc7172eda2a715235f65be7a282ac38fd649974c9795bc16ac3bb458

Aliases

arxiv: math/0504537 · arxiv_version: math/0504537v2 · doi: 10.48550/arxiv.math/0504537 · pith_short_12: BIC73JWMOFZO · pith_short_16: BIC73JWMOFZO3IVH · pith_short_8: BIC73JWM

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/BIC73JWMOFZO3IVHCURV6ZN6PI \
  | 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: 0a05fda6cc7172eda2a715235f65be7a282ac38fd649974c9795bc16ac3bb458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f67bf64748609c55708d8580fc9d6b0dff5951245cf2160267872178a9c4aeb3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2005-04-26T15:43:21Z",
    "title_canon_sha256": "517780d46410e8de9aad6685e06b9df9323a25624bb483bf95354550066fe6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504537",
    "kind": "arxiv",
    "version": 2
  }
}