Pith Number

pith:CR2UNCYG

pith:2012:CR2UNCYG7K7OX3WNDM4YJHOJFL

not attested not anchored not stored refs pending

Determinantal representations of hyperbolic plane curves: An elementary approach

Cynthia Vinzant, Daniel Plaumann

arxiv:1207.7047 v2 · 2012-07-30 · math.AG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CR2UNCYG7K7OX3WNDM4YJHOJFL}

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	2026-05-18T02:21:07.875303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1475468b06fabeebeecd1b39849dc92ad102450578bb2027ad3ee88c1085144e

Aliases

arxiv: 1207.7047 · arxiv_version: 1207.7047v2 · doi: 10.48550/arxiv.1207.7047 · pith_short_12: CR2UNCYG7K7O · pith_short_16: CR2UNCYG7K7OX3WN · pith_short_8: CR2UNCYG

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/CR2UNCYG7K7OX3WNDM4YJHOJFL \
  | 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: 1475468b06fabeebeecd1b39849dc92ad102450578bb2027ad3ee88c1085144e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b36f1b92f9a6b73526a7857465255499c92c9325719ead41a98cd8f3553bcb",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-30T19:27:43Z",
    "title_canon_sha256": "ed94a07f3af30ba47be0fbc29b25081f5d6a1d58277e1d68a0064656ec3e56d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7047",
    "kind": "arxiv",
    "version": 2
  }
}