Pith Number

pith:A7IQYAS6

pith:2023:A7IQYAS635BAIE2HDWF2NUOJ2T

not attested not anchored not stored refs pending

Local limits of descent-biased permutations and trees

Paul Th\'evenin, Stephan Wagner

arxiv:2312.11183 v1 · 2023-12-18 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7IQYAS635BAIE2HDWF2NUOJ2T}

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	2026-07-05T07:25:29.378717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07d10c025edf420413471d8ba6d1c9d4e432f21d78e26f2bdc41a000748dc8d4

Aliases

arxiv: 2312.11183 · arxiv_version: 2312.11183v1 · doi: 10.48550/arxiv.2312.11183 · pith_short_12: A7IQYAS635BA · pith_short_16: A7IQYAS635BAIE2H · pith_short_8: A7IQYAS6

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/A7IQYAS635BAIE2HDWF2NUOJ2T \
  | 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: 07d10c025edf420413471d8ba6d1c9d4e432f21d78e26f2bdc41a000748dc8d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de1482235080aeb76dc1e54ce57d4e4848cb612d768513cedc4af5fdc590dfc0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-18T13:24:28Z",
    "title_canon_sha256": "6e8e46cdae57f1a41faaebd28bc738a0b0b32dddbed4168ffb02d6252ec564d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.11183",
    "kind": "arxiv",
    "version": 1
  }
}