Pith Number

pith:WG5TCOS3

pith:2010:WG5TCOS3IOPPFQP5ENEXH7F7Q7

not attested not anchored not stored refs pending

Bifurcation values and monodromy of mixed polynomials

Mihai Tibar, Ying Chen

arxiv:1011.4884 v2 · 2010-11-22 · math.CV · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WG5TCOS3IOPPFQP5ENEXH7F7Q7}

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	2026-05-17T23:57:03.667694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1bb313a5b439ef2c1fd234973fcbf87de20f6c31089bcc2f2e18d46e1d623ad

Aliases

arxiv: 1011.4884 · arxiv_version: 1011.4884v2 · doi: 10.48550/arxiv.1011.4884 · pith_short_12: WG5TCOS3IOPP · pith_short_16: WG5TCOS3IOPPFQP5 · pith_short_8: WG5TCOS3

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/WG5TCOS3IOPPFQP5ENEXH7F7Q7 \
  | 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: b1bb313a5b439ef2c1fd234973fcbf87de20f6c31089bcc2f2e18d46e1d623ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec07d919b8d98397733c80561384b21b507a5458be9d35c90458d94daed420b4",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-11-22T17:32:24Z",
    "title_canon_sha256": "eccc50254ef2db7cf6e87e9b3ab5a46f3957c3808d4b95379ae297f942e0114f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4884",
    "kind": "arxiv",
    "version": 2
  }
}