Pith Number

pith:Q5XFXNHG

pith:2016:Q5XFXNHGPDG3SP4OVTFSEOMJUF

not attested not anchored not stored refs pending

Comments on a Theorem by Olivier Fr\'econ

Bruno Poizat (ICJ), Frank Olaf Wagner (ICJ)

arxiv:1609.06229 v2 · 2016-09-20 · math.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5XFXNHGPDG3SP4OVTFSEOMJUF}

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	2026-05-18T01:03:40.375382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

876e5bb4e678cdb93f8eaccb223989a1659d6767b5c99c785011bb978245507b

Aliases

arxiv: 1609.06229 · arxiv_version: 1609.06229v2 · doi: 10.48550/arxiv.1609.06229 · pith_short_12: Q5XFXNHGPDG3 · pith_short_16: Q5XFXNHGPDG3SP4O · pith_short_8: Q5XFXNHG

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/Q5XFXNHGPDG3SP4OVTFSEOMJUF \
  | 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: 876e5bb4e678cdb93f8eaccb223989a1659d6767b5c99c785011bb978245507b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a049cabba1ce2d25114ae3b027ae71535519bee7bd2ceba00bfb83de3a4f8b4d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-09-20T15:47:27Z",
    "title_canon_sha256": "f353c7038300906e8dca98f06f3546a98bb84f8bc9a03b7048aca4b903764fd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06229",
    "kind": "arxiv",
    "version": 2
  }
}