Pith Number

pith:JFDUPLEB

pith:2026:JFDUPLEBH4ILWVHMWXR3EY4B7X

not attested not anchored not stored refs pending

Height functions on the $m \times n$ Miura-ori flip graph: degree sequence and diameter

Chakshu Gupta

arxiv:2606.22614 v1 · 2026-06-21 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JFDUPLEBH4ILWVHMWXR3EY4B7X}

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	2026-06-23T02:13:43.008854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

494747ac813f10bb54ecb5e3b26381fdcaa6a0e09c5657187d4cde52555258a7

Aliases

arxiv: 2606.22614 · arxiv_version: 2606.22614v1 · doi: 10.48550/arxiv.2606.22614 · pith_short_12: JFDUPLEBH4IL · pith_short_16: JFDUPLEBH4ILWVHM · pith_short_8: JFDUPLEB

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/JFDUPLEBH4ILWVHMWXR3EY4B7X \
  | 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: 494747ac813f10bb54ecb5e3b26381fdcaa6a0e09c5657187d4cde52555258a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0def3f39e5ebefe84d1175d1352b4065b04378658ef9ad845155a3f528841894",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-21T17:40:19Z",
    "title_canon_sha256": "0bca4ea873d10238819b56dc4b8654d23a84095b94542063b32a7f02f5ce3e54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22614",
    "kind": "arxiv",
    "version": 1
  }
}