Pith Number

pith:7QE5CYVH

pith:2020:7QE5CYVH4K6VDDPKSOLQTS4YZ2

not attested not anchored not stored refs pending

Random discrete concave functions on an equilateral lattice with periodic Hessians

Hariharan Narayanan

arxiv:2005.13376 v8 · 2020-05-27 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QE5CYVH4K6VDDPKSOLQTS4YZ2}

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.

Cited by

1 paper in Pith

On the limit of random hives with GUE boundary conditions

Receipt and verification

First computed	2026-07-05T05:38:06.668908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc09d162a7e2bd518dea939709cb98ceb0365dda955e02bf38720173677f11e9

Aliases

arxiv: 2005.13376 · arxiv_version: 2005.13376v8 · doi: 10.48550/arxiv.2005.13376 · pith_short_12: 7QE5CYVH4K6V · pith_short_16: 7QE5CYVH4K6VDDPK · pith_short_8: 7QE5CYVH

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/7QE5CYVH4K6VDDPKSOLQTS4YZ2 \
  | 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: fc09d162a7e2bd518dea939709cb98ceb0365dda955e02bf38720173677f11e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcac01bef8948e57373b9b46ba0831a6cd6a52e6addc22a3cda4df199b5e2f68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-05-27T14:13:57Z",
    "title_canon_sha256": "c66b72261e6285cc95d0434850d10689265a58f7fd6414d57a8a6bf31f56ca12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.13376",
    "kind": "arxiv",
    "version": 8
  }
}