Pith Number

pith:FLYASJAF

pith:2014:FLYASJAFGMW6ZYZJEAHXTOH3ZP

not attested not anchored not stored refs pending

Global Okounkov bodies for Bott-Samelson varieties

David Schmitz, Henrik Sepp\"anen

arxiv:1409.1857 v2 · 2014-09-05 · 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{FLYASJAFGMW6ZYZJEAHXTOH3ZP}

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	2026-05-18T02:20:10.132116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2af0092405332dece329200f79b8fbcbfd6eae2cd01a3bb545be0681d7180287

Aliases

arxiv: 1409.1857 · arxiv_version: 1409.1857v2 · doi: 10.48550/arxiv.1409.1857 · pith_short_12: FLYASJAFGMW6 · pith_short_16: FLYASJAFGMW6ZYZJ · pith_short_8: FLYASJAF

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/FLYASJAFGMW6ZYZJEAHXTOH3ZP \
  | 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: 2af0092405332dece329200f79b8fbcbfd6eae2cd01a3bb545be0681d7180287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "898b59b875d5ee181f1c0e9afddad5379098b4f748b400537efff5991d74893b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-05T16:13:24Z",
    "title_canon_sha256": "cbe2b251f463f78c9164cce4175a239298ad781a98aa2c3f89e06cd9a2858eaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1857",
    "kind": "arxiv",
    "version": 2
  }
}