Pith Number

pith:MFBADY4K

pith:2022:MFBADY4KJCMJWWM4OHMZWM2FPT

not attested not anchored not stored refs pending

Maximal chain descent orders

Stephen Lacina

arxiv:2209.15142 v1 · 2022-09-30 · 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{MFBADY4KJCMJWWM4OHMZWM2FPT}

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.

Cited by

1 paper in Pith

Preorders on maximal chains: hyperplane arrangements, Cambrian lattices, and maximal green sequences

Receipt and verification

First computed	2026-07-05T05:02:16.563806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614201e38a48989b599c71d99b33457cd760f8ed35b1c552e0e949d15d03c8ff

Aliases

arxiv: 2209.15142 · arxiv_version: 2209.15142v1 · doi: 10.48550/arxiv.2209.15142 · pith_short_12: MFBADY4KJCMJ · pith_short_16: MFBADY4KJCMJWWM4 · pith_short_8: MFBADY4K

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/MFBADY4KJCMJWWM4OHMZWM2FPT \
  | 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: 614201e38a48989b599c71d99b33457cd760f8ed35b1c552e0e949d15d03c8ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eed5fac390b8fb45e3bcc823e4a361d5e209f18054f65d14edde0515576a66a2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-30T00:14:43Z",
    "title_canon_sha256": "1a6e2e2be7193e0bc179532fce6c4ed6898e5f4a20f2ea97773772070a8991b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.15142",
    "kind": "arxiv",
    "version": 1
  }
}