Pith Number

pith:PFQPBEUC

pith:2014:PFQPBEUC7OJYSSGE5NTGBAY6D2

not attested not anchored not stored refs pending

Heights on algebraic curves

L. Beshaj, T. Shaska

arxiv:1406.5659 v2 · 2014-06-22 · 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{PFQPBEUC7OJYSSGE5NTGBAY6D2}

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	2026-05-17T23:44:48.757385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7960f09282fb938948c4eb6660831e1e969221c4276c025e0f15cf9b078ab9e0

Aliases

arxiv: 1406.5659 · arxiv_version: 1406.5659v2 · doi: 10.48550/arxiv.1406.5659 · pith_short_12: PFQPBEUC7OJY · pith_short_16: PFQPBEUC7OJYSSGE · pith_short_8: PFQPBEUC

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/PFQPBEUC7OJYSSGE5NTGBAY6D2 \
  | 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: 7960f09282fb938948c4eb6660831e1e969221c4276c025e0f15cf9b078ab9e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c32d595511aa36728a2921f2d1374770f8e37708c41dee5931102e851b2eef7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-22T00:45:02Z",
    "title_canon_sha256": "76aa1efd31e6ffec44a935cf4c7424dedbb63bae7cf15a388d2c79e79acc6bf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5659",
    "kind": "arxiv",
    "version": 2
  }
}