Pith Number

pith:G7XR3OSA

pith:2016:G7XR3OSAWBUIM5Q24OSRHFXKAM

not attested not anchored not stored refs pending

Gaussian complex zeros on the hole event: the emergence of a forbidden region

Alon Nishry, Subhroshekhar Ghosh

arxiv:1609.00084 v2 · 2016-09-01 · math.CV · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7XR3OSAWBUIM5Q24OSRHFXKAM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:02:28.411616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ef1dba40b06886761ae3a51396ea033c69ef3e0b62b8e4ff49c82013c56454

Aliases

arxiv: 1609.00084 · arxiv_version: 1609.00084v2 · doi: 10.48550/arxiv.1609.00084 · pith_short_12: G7XR3OSAWBUI · pith_short_16: G7XR3OSAWBUIM5Q2 · pith_short_8: G7XR3OSA

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/G7XR3OSAWBUIM5Q24OSRHFXKAM \
  | 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: 37ef1dba40b06886761ae3a51396ea033c69ef3e0b62b8e4ff49c82013c56454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5481922d50418e0b166b544de2fa0449f903042cdad54b6bddf31385dcbbd4ea",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-09-01T01:43:45Z",
    "title_canon_sha256": "9b5516a14d593231430eb236ce4622d12cf9887dcfab5185e218fdded6dac6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00084",
    "kind": "arxiv",
    "version": 2
  }
}