Pith Number

pith:TCAHBCOR

pith:2012:TCAHBCORCSBGRKLBNVUAIO7H7Q

not attested not anchored not stored refs pending

Critical values of Gaussian SU(2) random polynomials

Renjie Feng, Zhenan Wang

arxiv:1210.4829 v3 · 2012-10-17 · 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{TCAHBCORCSBGRKLBNVUAIO7H7Q}

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	2026-05-18T00:11:19.677201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98807089d1148268a9616d68043be7fc041bb3de427c12e1514ba0e910a5819c

Aliases

arxiv: 1210.4829 · arxiv_version: 1210.4829v3 · doi: 10.48550/arxiv.1210.4829 · pith_short_12: TCAHBCORCSBG · pith_short_16: TCAHBCORCSBGRKLB · pith_short_8: TCAHBCOR

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/TCAHBCORCSBGRKLBNVUAIO7H7Q \
  | 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: 98807089d1148268a9616d68043be7fc041bb3de427c12e1514ba0e910a5819c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "584e04290835f6872d19f37770565e9bdc087a47dee9db145ebb3843983d235d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-17T19:36:37Z",
    "title_canon_sha256": "c69e1a26cd6e1aa6bcb5c3bc04fc35e4f312ff46c5cf3d6fbdb83c5b3000e8a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4829",
    "kind": "arxiv",
    "version": 3
  }
}