Pith Number

pith:6O7V5MTF

pith:2025:6O7V5MTFEKB5L4QQIVV56PCY5T

not attested not anchored not stored refs pending

Polynomial 2D Biharmonic Coordinates for High-order Cages

Ligang Liu, Shibo Liu, Xiao-Ming Fu

arxiv:2501.15279 v1 · 2025-01-25 · cs.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6O7V5MTFEKB5L4QQIVV56PCY5T}

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	2026-07-05T10:05:26.733709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3bf5eb2652283d5f210456bdf3c58ece24ce15f8758feedd8f87e8b6b76f4ba

Aliases

arxiv: 2501.15279 · arxiv_version: 2501.15279v1 · doi: 10.48550/arxiv.2501.15279 · pith_short_12: 6O7V5MTFEKB5 · pith_short_16: 6O7V5MTFEKB5L4QQ · pith_short_8: 6O7V5MTF

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/6O7V5MTFEKB5L4QQIVV56PCY5T \
  | 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: f3bf5eb2652283d5f210456bdf3c58ece24ce15f8758feedd8f87e8b6b76f4ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ce8b5293046ddbeec31cbac32d7718e83f6d7954f1f5bfbf77a4e605824e5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2025-01-25T17:12:37Z",
    "title_canon_sha256": "561fa322b5e9e29e7d8fdf7a5845de46b0bcae8dca4778c6964a92bf06d946c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15279",
    "kind": "arxiv",
    "version": 1
  }
}