Pith Number

pith:BT2OGI3X

pith:2015:BT2OGI3XDKUO4ZXAXASMBWCQ4P

not attested not anchored not stored refs pending

The Dynamical Manin-Mumford Conjecture and the Dynamical Bogomolov Conjecture for split rational maps

Dragos Ghioca, Hexi Ye, Khoa D. Nguyen

arxiv:1511.06081 v2 · 2015-11-19 · math.NT · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BT2OGI3XDKUO4ZXAXASMBWCQ4P}

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	2026-05-18T01:04:05.789026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cf4e323771aa8ee66e0b824c0d850e3d430d2721997a7e3cbe112f75ed9aff5

Aliases

arxiv: 1511.06081 · arxiv_version: 1511.06081v2 · doi: 10.48550/arxiv.1511.06081 · pith_short_12: BT2OGI3XDKUO · pith_short_16: BT2OGI3XDKUO4ZXA · pith_short_8: BT2OGI3X

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/BT2OGI3XDKUO4ZXAXASMBWCQ4P \
  | 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: 0cf4e323771aa8ee66e0b824c0d850e3d430d2721997a7e3cbe112f75ed9aff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d63b651d78cf1ac5324afa6adba6448980dd61f0f64b4cb9eaf29d06c9504cc",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-19T07:31:49Z",
    "title_canon_sha256": "5c8cb4eb87cc2f7348590d7f012dcf7d423659ebe82e0a9c81af261d5f775c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06081",
    "kind": "arxiv",
    "version": 2
  }
}