Pith Number

pith:53XKPUIV

pith:2014:53XKPUIVHKJI5H3C3GJSCRLNO4

not attested not anchored not stored refs pending

Bifurcation locus and branches at infinity of a polynomial f : C2 -> c

Mihai Tibar, Zbigniew Jelonek

arxiv:1401.6544 v1 · 2014-01-25 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53XKPUIVHKJI5H3C3GJSCRLNO4}

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	2026-05-18T02:20:47.569760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeeea7d1153a928e9f62d99321456d773e20dbe8123accd2e4583141059f5628

Aliases

arxiv: 1401.6544 · arxiv_version: 1401.6544v1 · doi: 10.48550/arxiv.1401.6544 · pith_short_12: 53XKPUIVHKJI · pith_short_16: 53XKPUIVHKJI5H3C · pith_short_8: 53XKPUIV

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/53XKPUIVHKJI5H3C3GJSCRLNO4 \
  | 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: eeeea7d1153a928e9f62d99321456d773e20dbe8123accd2e4583141059f5628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc364b387c8e55dae13b357860f4a96d904f80b1f490046fdddc4d8cb42a5e58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-25T15:09:29Z",
    "title_canon_sha256": "9ca716cdc43553eeffb226878ff8023a8dd20959f76b3239e1af36d66a7d4c47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6544",
    "kind": "arxiv",
    "version": 1
  }
}