Pith Number

pith:ZA6SO72V

pith:2013:ZA6SO72VKZVTD42PFFGRWF2V3V

not attested not anchored not stored refs pending

Variation of the canonical height in a family of rational maps

Dragos Ghioca, Niki Myrto Mavraki

arxiv:1309.5682 v1 · 2013-09-23 · 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{ZA6SO72VKZVTD42PFFGRWF2V3V}

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	2026-05-18T03:12:34.507432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c83d277f55566b31f34f294d1b1755dd66357c46155cdd449b57a35899a8ae15

Aliases

arxiv: 1309.5682 · arxiv_version: 1309.5682v1 · doi: 10.48550/arxiv.1309.5682 · pith_short_12: ZA6SO72VKZVT · pith_short_16: ZA6SO72VKZVTD42P · pith_short_8: ZA6SO72V

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/ZA6SO72VKZVTD42PFFGRWF2V3V \
  | 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: c83d277f55566b31f34f294d1b1755dd66357c46155cdd449b57a35899a8ae15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "829356804eecc7d6339c42bb779e507bf02012a72374b96a7cfe7455e7bff8fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-23T02:10:42Z",
    "title_canon_sha256": "7050f9f6f932a6a560e829f7c5de7ad7d08c1268ca071450e3b032940063ad0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5682",
    "kind": "arxiv",
    "version": 1
  }
}