Pith Number

pith:HUC64NJN

pith:2018:HUC64NJNNXOYTMF5NBRMD53CHN

not attested not anchored not stored refs pending

Heights in families of abelian varieties and the Geometric Bogomolov Conjecture

Philipp Habegger, Ziyang Gao

arxiv:1801.05762 v3 · 2018-01-17 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUC64NJNNXOYTMF5NBRMD53CHN}

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	2026-05-17T23:55:21.335904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d05ee352d6ddd89b0bd6862c1f7623b48e6f8f4c876723dbb508e112e32bf20

Aliases

arxiv: 1801.05762 · arxiv_version: 1801.05762v3 · doi: 10.48550/arxiv.1801.05762 · pith_short_12: HUC64NJNNXOY · pith_short_16: HUC64NJNNXOYTMF5 · pith_short_8: HUC64NJN

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/HUC64NJNNXOYTMF5NBRMD53CHN \
  | 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: 3d05ee352d6ddd89b0bd6862c1f7623b48e6f8f4c876723dbb508e112e32bf20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0db4b205f87333df853439056fdefbd738d41233a833532742ab599f4e3d4ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-17T17:26:16Z",
    "title_canon_sha256": "79d32bc808bf490c5385565a3c70d50c0fd2b9f45dc2a2425cd4fe69f08b8a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05762",
    "kind": "arxiv",
    "version": 3
  }
}