Pith Number

pith:F4QPZUBY

pith:2025:F4QPZUBYLYKQ7MQMUERGSBP2SR

not attested not anchored not stored refs pending

The Origami flip graph of the $2\times n$ Miura-ori

Emma O'Neil, Kacey Yang, Lumi Christensen, Natalya Ter-Saakov, Thomas C. Hull, Valentina Pappano

arxiv:2506.19700 v2 · 2025-06-24 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4QPZUBYLYKQ7MQMUERGSBP2SR}

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	2026-06-26T01:15:44.684771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f20fcd0385e150fb20ca1226905fa9445dd99135fbc7ec67e872d23d143a1dc

Aliases

arxiv: 2506.19700 · arxiv_version: 2506.19700v2 · doi: 10.48550/arxiv.2506.19700 · pith_short_12: F4QPZUBYLYKQ · pith_short_16: F4QPZUBYLYKQ7MQM · pith_short_8: F4QPZUBY

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/F4QPZUBYLYKQ7MQMUERGSBP2SR \
  | 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: 2f20fcd0385e150fb20ca1226905fa9445dd99135fbc7ec67e872d23d143a1dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "440a328b347704e7e35a3f34eea162ca5c638cf3b924b2a01b49cb91af06d4ed",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-24T15:11:24Z",
    "title_canon_sha256": "4a6518f5765574db00cb1d7d39d4c0cd66dd2bd2e18fa23627d7737640339768"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19700",
    "kind": "arxiv",
    "version": 2
  }
}