Pith Number

pith:WT3LSKPF

pith:2024:WT3LSKPFHLXWK52O2EQ6B3EHXF

not attested not anchored not stored refs pending

Polynomial 2D Green Coordinates for High-order Cages

Ligang Liu, Shibo Liu, Xiao-Ming Fu

arxiv:2408.06831 v2 · 2024-08-13 · 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{WT3LSKPFHLXWK52O2EQ6B3EHXF}

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	2026-07-05T11:10:00.264614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f6b929e53aef65774ed121e0ec87b964bc6629b6c033cc7d7271690030d610

Aliases

arxiv: 2408.06831 · arxiv_version: 2408.06831v2 · doi: 10.48550/arxiv.2408.06831 · pith_short_12: WT3LSKPFHLXW · pith_short_16: WT3LSKPFHLXWK52O · pith_short_8: WT3LSKPF

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/WT3LSKPFHLXWK52O2EQ6B3EHXF \
  | 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: b4f6b929e53aef65774ed121e0ec87b964bc6629b6c033cc7d7271690030d610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6472bd43bcdf53c3935bc903e50756782431c581e66c64473fc1a19a6761bb0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2024-08-13T11:45:21Z",
    "title_canon_sha256": "8a73c628395a7514e1cf323ffec2a386fe8dbddea4ff1fdb76cae60c8149cdaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.06831",
    "kind": "arxiv",
    "version": 2
  }
}