Pith Number

pith:YSICYAF3

pith:2014:YSICYAF32AHH2IT3JE4TE4EHMO

not attested not anchored not stored refs pending

Heights and regulators of number fields and elliptic curves

Fabien Pazuki

arxiv:1406.0120 v4 · 2014-05-31 · 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{YSICYAF32AHH2IT3JE4TE4EHMO}

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	2026-05-18T01:03:06.704024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4902c00bbd00e7d227b493932708763ba9bc664ed902058b7378d81ceea040e

Aliases

arxiv: 1406.0120 · arxiv_version: 1406.0120v4 · doi: 10.48550/arxiv.1406.0120 · pith_short_12: YSICYAF32AHH · pith_short_16: YSICYAF32AHH2IT3 · pith_short_8: YSICYAF3

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/YSICYAF32AHH2IT3JE4TE4EHMO \
  | 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: c4902c00bbd00e7d227b493932708763ba9bc664ed902058b7378d81ceea040e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53a1387fd2e126a034106f8752ab981e25461ef5e6ece4bd4c7c7131d5498fd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-31T23:37:00Z",
    "title_canon_sha256": "4e651934ddb4a5897d4b5ce1be0bc7ce90a5122f30c0e7c1f196710cc599b357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0120",
    "kind": "arxiv",
    "version": 4
  }
}