Pith Number

pith:HYTDZZ5B

pith:2016:HYTDZZ5BKMIIBQHZ5SRCIFGU4H

not attested not anchored not stored refs pending

On critical points of random polynomials and spectrum of certain products of random matrices

Tulasi Ram Reddy

arxiv:1602.05298 v1 · 2016-02-17 · math.PR · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYTDZZ5BKMIIBQHZ5SRCIFGU4H}

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	2026-05-18T01:15:38.261167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e263ce7a1531080c0f9eca22414d4e1e06e6c66aba98561c1ac254a7954a08e

Aliases

arxiv: 1602.05298 · arxiv_version: 1602.05298v1 · doi: 10.48550/arxiv.1602.05298 · pith_short_12: HYTDZZ5BKMII · pith_short_16: HYTDZZ5BKMIIBQHZ · pith_short_8: HYTDZZ5B

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/HYTDZZ5BKMIIBQHZ5SRCIFGU4H \
  | 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: 3e263ce7a1531080c0f9eca22414d4e1e06e6c66aba98561c1ac254a7954a08e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78796412ea60f90ad81821035e397ca93855f530f5fe3a82d8d3f58e39fc8211",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-17T04:52:43Z",
    "title_canon_sha256": "b1c7bc0c89a1154ab63b271cabf1eb65dcf847c468ccda1fa73d804ee64f5b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05298",
    "kind": "arxiv",
    "version": 1
  }
}