Pith Number

pith:VPFNV4LJ

pith:2020:VPFNV4LJEQNIKD2T5AQOKICIDL

not attested not anchored not stored refs pending

The stable Derrida--Retaux system at criticality

Xinxing Chen, Zhan Shi

arxiv:2006.06140 v1 · 2020-06-11 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPFNV4LJEQNIKD2T5AQOKICIDL}

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	2026-07-05T01:09:21.455127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abcadaf169241a850f53e820e520481af3c209e2141cb7876f5f03e230252980

Aliases

arxiv: 2006.06140 · arxiv_version: 2006.06140v1 · doi: 10.48550/arxiv.2006.06140 · pith_short_12: VPFNV4LJEQNI · pith_short_16: VPFNV4LJEQNIKD2T · pith_short_8: VPFNV4LJ

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/VPFNV4LJEQNIKD2T5AQOKICIDL \
  | 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: abcadaf169241a850f53e820e520481af3c209e2141cb7876f5f03e230252980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a93179863bd074d600b81e4bb6193cace5e197c291e5ff8e43fe8579a0fcdc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-06-11T01:12:01Z",
    "title_canon_sha256": "a2a3333ad81e947dd11c12e9b40e1ca22da90d271ae2a53d292b5f1c845458da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.06140",
    "kind": "arxiv",
    "version": 1
  }
}