Pith Number

pith:AIJBOUVP

pith:2011:AIJBOUVP53FA2O5A32W3WOTDEP

not attested not anchored not stored refs pending

Tropical Combinatorics and Whittaker functions

Ivan Corwin, Neil O'Connell, Nikos Zygouras, Timo Sepp\"al\"ainen

arxiv:1110.3489 v4 · 2011-10-16 · math.PR · cond-mat.stat-mech · math-ph · math.CO · math.MP · 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{AIJBOUVP53FA2O5A32W3WOTDEP}

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	2026-05-18T02:29:32.701669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02121752afeeca0d3ba0deadbb3a6323e6de0bd37654dd36eed1924f6c153f20

Aliases

arxiv: 1110.3489 · arxiv_version: 1110.3489v4 · doi: 10.48550/arxiv.1110.3489 · pith_short_12: AIJBOUVP53FA · pith_short_16: AIJBOUVP53FA2O5A · pith_short_8: AIJBOUVP

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/AIJBOUVP53FA2O5A32W3WOTDEP \
  | 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: 02121752afeeca0d3ba0deadbb3a6323e6de0bd37654dd36eed1924f6c153f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c662007cbf33d18428288e720e1f14a4eddf897103db8b076ffc6d92ce9da7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.CO",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-16T14:42:42Z",
    "title_canon_sha256": "15f70968c279d91334373b732e6a5b036f3223858622a5280c917d0e96fc9d5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3489",
    "kind": "arxiv",
    "version": 4
  }
}