Pith Number

pith:5UMG2V7G

pith:2012:5UMG2V7G3RXTDF22FQLOBBVVJK

not attested not anchored not stored refs pending

Determinantal representations of hyperbolic curves via polynomial homotopy continuation

Anton Leykin, Daniel Plaumann

arxiv:1212.3506 v3 · 2012-12-14 · 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{5UMG2V7G3RXTDF22FQLOBBVVJK}

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	2026-05-18T01:11:35.555243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed186d57e6dc6f31975a2c16e086b54a8b5e2141616457dbd4921267987d0e67

Aliases

arxiv: 1212.3506 · arxiv_version: 1212.3506v3 · doi: 10.48550/arxiv.1212.3506 · pith_short_12: 5UMG2V7G3RXT · pith_short_16: 5UMG2V7G3RXTDF22 · pith_short_8: 5UMG2V7G

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/5UMG2V7G3RXTDF22FQLOBBVVJK \
  | 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: ed186d57e6dc6f31975a2c16e086b54a8b5e2141616457dbd4921267987d0e67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7dc48738c1fa771754ea37a26b9b671760ad1476c0a1e9caae6757264939c4f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-14T15:48:48Z",
    "title_canon_sha256": "e2e9aa96dd7cdb11c2860e181c668a886e56df0afc6dcb00f03724b88f79ec84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3506",
    "kind": "arxiv",
    "version": 3
  }
}