Pith Number

pith:QIZ7X3FE

pith:2019:QIZ7X3FER4RYXOVI255WBWLKHI

not attested not anchored not stored refs pending

Average preserving variation processes in view of optimization

R\'emi Lassalle

arxiv:1908.01641 v2 · 2019-08-05 · 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{QIZ7X3FER4RYXOVI255WBWLKHI}

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	2026-07-05T04:46:09.797626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8233fbeca48f238bbaa8d77b60d96a3a291f52716105da89ac70e40d20819950

Aliases

arxiv: 1908.01641 · arxiv_version: 1908.01641v2 · doi: 10.48550/arxiv.1908.01641 · pith_short_12: QIZ7X3FER4RY · pith_short_16: QIZ7X3FER4RYXOVI · pith_short_8: QIZ7X3FE

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/QIZ7X3FER4RYXOVI255WBWLKHI \
  | 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: 8233fbeca48f238bbaa8d77b60d96a3a291f52716105da89ac70e40d20819950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aff8063ad4eac2a25c66d2c8fb58250286a60c6c968d5f28aeb1261bb6b00e50",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-05T14:19:25Z",
    "title_canon_sha256": "a34c23227fcc2f7d594dbb44e2b00b72d75185cb91fc3355c2de79efa305e740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01641",
    "kind": "arxiv",
    "version": 2
  }
}