Pith Number

pith:IPFYRQ4R

pith:2017:IPFYRQ4R3RVLUC7MDT2NFMLTCU

not attested not anchored not stored refs pending

On random quadratic forms: supports of potential local maxima

Boris Pittel

arxiv:1708.03255 v3 · 2017-08-10 · 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{IPFYRQ4R3RVLUC7MDT2NFMLTCU}

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	2026-05-17T23:41:13.471360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43cb88c391dc6aba0bec1cf4d2b1731536974c442d692abe8ad91feca1e4f661

Aliases

arxiv: 1708.03255 · arxiv_version: 1708.03255v3 · doi: 10.48550/arxiv.1708.03255 · pith_short_12: IPFYRQ4R3RVL · pith_short_16: IPFYRQ4R3RVLUC7M · pith_short_8: IPFYRQ4R

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/IPFYRQ4R3RVLUC7MDT2NFMLTCU \
  | 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: 43cb88c391dc6aba0bec1cf4d2b1731536974c442d692abe8ad91feca1e4f661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df906f7ed869d6f38d9f5b17ac8cd90764d68ce50e787742ec9e1568ef2ad658",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-10T15:24:57Z",
    "title_canon_sha256": "f8b077351204ceb7f8ebb13c0c81c4a45c22cf36a61d6c42fc830bf0a5af5669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03255",
    "kind": "arxiv",
    "version": 3
  }
}