Pith Number

pith:PM3UAVUB

pith:2025:PM3UAVUBKOX65I6KTTLY42P4T3

not attested not anchored not stored refs pending

Proofs Of Three Geode Conjectures

Doron Zeilberger, Tewodros Amdeberhan

arxiv:2506.17862 v1 · 2025-06-22 · 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{PM3UAVUBKOX65I6KTTLY42P4T3}

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

Ordered trees and the Geode

Receipt and verification

First computed	2026-07-05T11:25:24.461278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b3740568153afeea3ca9cd78e69fc9ee586436432fcd0298ac4bd3b78fd6e4b

Aliases

arxiv: 2506.17862 · arxiv_version: 2506.17862v1 · doi: 10.48550/arxiv.2506.17862 · pith_short_12: PM3UAVUBKOX6 · pith_short_16: PM3UAVUBKOX65I6K · pith_short_8: PM3UAVUB

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/PM3UAVUBKOX65I6KTTLY42P4T3 \
  | 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: 7b3740568153afeea3ca9cd78e69fc9ee586436432fcd0298ac4bd3b78fd6e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee1bc6552d0d372d63939502614e58de4d77e817539be68c77df420be12ddcf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-22T00:14:40Z",
    "title_canon_sha256": "9133ac725ccd2a6de46e91a0e403b8a4029157387c83cbba02dd520365ded0ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17862",
    "kind": "arxiv",
    "version": 1
  }
}