Pith Number

pith:5OAKQFB3

pith:2016:5OAKQFB3MYVWTZ5RBOWH5PXQ6V

not attested not anchored not stored refs pending

Degree Growth of Rational Maps Induced from Algebraic Structures

Charles Favre, Jan-Li Lin

arxiv:1609.04127 v1 · 2016-09-14 · math.DS · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OAKQFB3MYVWTZ5RBOWH5PXQ6V}

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	2026-05-18T01:04:38.903732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb80a8143b662b69e7b10bac7ebef0f5530273a7d9819cfccd394e777e5412fb

Aliases

arxiv: 1609.04127 · arxiv_version: 1609.04127v1 · doi: 10.48550/arxiv.1609.04127 · pith_short_12: 5OAKQFB3MYVW · pith_short_16: 5OAKQFB3MYVWTZ5R · pith_short_8: 5OAKQFB3

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/5OAKQFB3MYVWTZ5RBOWH5PXQ6V \
  | 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: eb80a8143b662b69e7b10bac7ebef0f5530273a7d9819cfccd394e777e5412fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8052e0606879a93898967d14da3b476777de1ece4231dc0d125c9f95eea0d7ec",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-14T03:56:51Z",
    "title_canon_sha256": "e695cbdb46d115139ad9f1ef446ce40b94523142e08187a2e104362f1494c3b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04127",
    "kind": "arxiv",
    "version": 1
  }
}