Pith Number

pith:HKV7C4OI

pith:2011:HKV7C4OIHNOXHYW5I2EQZ6EITR

not attested not anchored not stored refs pending

Crystal bases and Newton-Okounkov bodies

Kiumars Kaveh

arxiv:1101.1687 v4 · 2011-01-09 · 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{HKV7C4OIHNOXHYW5I2EQZ6EITR}

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	2026-05-18T01:28:06.422614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aabf171c83b5d73e2dd46890cf8889c7d59bbc728cda3513432d37057263c77

Aliases

arxiv: 1101.1687 · arxiv_version: 1101.1687v4 · doi: 10.48550/arxiv.1101.1687 · pith_short_12: HKV7C4OIHNOX · pith_short_16: HKV7C4OIHNOXHYW5 · pith_short_8: HKV7C4OI

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/HKV7C4OIHNOXHYW5I2EQZ6EITR \
  | 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: 3aabf171c83b5d73e2dd46890cf8889c7d59bbc728cda3513432d37057263c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5cffd3d5fb47f40feb2c714126216374011ec2475eac84cdd1e5695b14e1ad9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-09T23:50:53Z",
    "title_canon_sha256": "55e3eaa2d2677f400be08f861bf4765c88acb65a9a1d5d88905aa772e0a662e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1687",
    "kind": "arxiv",
    "version": 4
  }
}