Pith Number

pith:Y3BZJ6FA

pith:2015:Y3BZJ6FASPMADSF26MJYB3TYES

not attested not anchored not stored refs pending

Rigidity hierarchy in random point fields: random polynomials and determinantal processes

Manjunath Krishnapur, Subhro Ghosh

arxiv:1510.08814 v2 · 2015-10-29 · math.PR · math-ph · 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{Y3BZJ6FASPMADSF26MJYB3TYES}

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

Spectral rigidity of random Schr\"odinger operators via Feynman-Kac formulas

Receipt and verification

First computed	2026-07-05T04:03:35.103086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6c394f8a093d801c8baf31380ee7824bd4849937e53dceeee0ea35bd868a7ed

Aliases

arxiv: 1510.08814 · arxiv_version: 1510.08814v2 · doi: 10.48550/arxiv.1510.08814 · pith_short_12: Y3BZJ6FASPMA · pith_short_16: Y3BZJ6FASPMADSF2 · pith_short_8: Y3BZJ6FA

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/Y3BZJ6FASPMADSF26MJYB3TYES \
  | 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: c6c394f8a093d801c8baf31380ee7824bd4849937e53dceeee0ea35bd868a7ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d659f721d6e4ca2f421139e2ec1da0d617dd9cfb8460236bb1d935511c18a9b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-29T18:37:20Z",
    "title_canon_sha256": "ddc600571a9d0a0fac6ee3d6cacd4af9ec4f9e7226d27560f9f75784bf6b61dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08814",
    "kind": "arxiv",
    "version": 2
  }
}