Pith Number

pith:2A2E4VPK

pith:2015:2A2E4VPKG7TCMZLK6V4QNPG2HZ

not attested not anchored not stored refs pending

Grassmannians, flag varieties, and Gelfand-Zetlin polytopes

Evgeny Smirnov

arxiv:1508.03010 v1 · 2015-08-12 · 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{2A2E4VPKG7TCMZLK6V4QNPG2HZ}

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	2026-05-18T01:04:00.117842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0344e55ea37e626656af57906bcda3e615e89318c2235f7f8a847409b5fac47

Aliases

arxiv: 1508.03010 · arxiv_version: 1508.03010v1 · doi: 10.48550/arxiv.1508.03010 · pith_short_12: 2A2E4VPKG7TC · pith_short_16: 2A2E4VPKG7TCMZLK · pith_short_8: 2A2E4VPK

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/2A2E4VPKG7TCMZLK6V4QNPG2HZ \
  | 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: d0344e55ea37e626656af57906bcda3e615e89318c2235f7f8a847409b5fac47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fad9527ea044e7782bc4263091f80a7848dbf37d2e9b1eb90b0290cf4cacda0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-12T17:38:34Z",
    "title_canon_sha256": "f5cc028c55dbd12fbfb58e5171fea6c40fc8e6b07ac3d207fa1959244345bc77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03010",
    "kind": "arxiv",
    "version": 1
  }
}