Pith Number

pith:XTRPAHGV

pith:2012:XTRPAHGVW2KJCGUFVRZF7UDVQW

not attested not anchored not stored refs pending

No zero-crossings for random polynomials and the heat equation

Amir Dembo, Sumit Mukherjee

arxiv:1208.2382 v4 · 2012-08-11 · 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{XTRPAHGVW2KJCGUFVRZF7UDVQW}

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	2026-05-18T02:29:45.830489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce2f01cd5b694911a85ac725fd07585b576a39affa8f5788451ffb094ddd415

Aliases

arxiv: 1208.2382 · arxiv_version: 1208.2382v4 · doi: 10.48550/arxiv.1208.2382 · pith_short_12: XTRPAHGVW2KJ · pith_short_16: XTRPAHGVW2KJCGUF · pith_short_8: XTRPAHGV

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/XTRPAHGVW2KJCGUFVRZF7UDVQW \
  | 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: bce2f01cd5b694911a85ac725fd07585b576a39affa8f5788451ffb094ddd415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3607d1213f5960f4840fbcb3a019b801055bbaece288b3c282323f6785cc02d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-11T19:47:58Z",
    "title_canon_sha256": "a18c2150d993c16716f5e207da9331265b17266941b5c4fc85d3f1a20b33bd19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2382",
    "kind": "arxiv",
    "version": 4
  }
}