Pith Number

pith:3S5U5MTN

pith:2011:3S5U5MTNHHTHECJGIKZISHPMRE

not attested not anchored not stored refs pending

Topology and Geometry of the Berkovich Ramification Locus for Rational Functions, II

Xander Faber

arxiv:1104.0943 v3 · 2011-04-05 · math.NT · 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{3S5U5MTNHHTHECJGIKZISHPMRE}

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	2026-05-18T03:33:12.158460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcbb4eb26d39e672092642b2891dec892ae64808979ea6e2f59d60752949b1f2

Aliases

arxiv: 1104.0943 · arxiv_version: 1104.0943v3 · doi: 10.48550/arxiv.1104.0943 · pith_short_12: 3S5U5MTNHHTH · pith_short_16: 3S5U5MTNHHTHECJG · pith_short_8: 3S5U5MTN

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/3S5U5MTNHHTHECJGIKZISHPMRE \
  | 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: dcbb4eb26d39e672092642b2891dec892ae64808979ea6e2f59d60752949b1f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa107f52019349060fd09354ff45d9feca8ecd7e2c8e05352c7438a00ee84813",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-05T20:03:37Z",
    "title_canon_sha256": "b23b0113b9551350d41c3e7cceaf6b0d2608f37661f2f8c6151e06d60f2955fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0943",
    "kind": "arxiv",
    "version": 3
  }
}