Pith Number

pith:WYP4WCJE

pith:2025:WYP4WCJESQZDJ325VFDICTVYWX

not attested not anchored not stored refs pending

Ordered trees and the Geode

Fern Gossow

arxiv:2507.18097 v1 · 2025-07-24 · 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{WYP4WCJESQZDJ325VFDICTVYWX}

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	2026-07-05T11:42:41.427923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b61fcb0924943234ef5da946814eb8b5cf4ce461045be01d4d96293fc784eff7

Aliases

arxiv: 2507.18097 · arxiv_version: 2507.18097v1 · doi: 10.48550/arxiv.2507.18097 · pith_short_12: WYP4WCJESQZD · pith_short_16: WYP4WCJESQZDJ325 · pith_short_8: WYP4WCJE

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/WYP4WCJESQZDJ325VFDICTVYWX \
  | 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: b61fcb0924943234ef5da946814eb8b5cf4ce461045be01d4d96293fc784eff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7be53cad403f3a8a37a871d7bdffb61b19b866fb7c1060e2eb634450291ad613",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-24T05:18:18Z",
    "title_canon_sha256": "9079557c2d8db2dfc6646e8bcbe4b226d4bfd28c7787bd1224c88ed02cc90d55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18097",
    "kind": "arxiv",
    "version": 1
  }
}