Pith Number

pith:RBLKU7NO

pith:2012:RBLKU7NOVXPGA76KS2TAEYA3ZU

not attested not anchored not stored refs pending

Finite field elements of high order arising from modular curves

Ethan Smith, Hiren Maharaj, Jared Ruiz, Jessica F. Burkhart, Justine C. Hyde-Volpe, Kevin James, Neil J. Calkin, Shelly Manber, Shuhong Gao

arxiv:1210.3504 v1 · 2012-10-12 · 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{RBLKU7NOVXPGA76KS2TAEYA3ZU}

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	2026-05-18T03:43:17.594277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8856aa7daeadde607fca96a602601bcd131e7a87713a8c57a21015f141c90239

Aliases

arxiv: 1210.3504 · arxiv_version: 1210.3504v1 · doi: 10.48550/arxiv.1210.3504 · pith_short_12: RBLKU7NOVXPG · pith_short_16: RBLKU7NOVXPGA76K · pith_short_8: RBLKU7NO

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/RBLKU7NOVXPGA76KS2TAEYA3ZU \
  | 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: 8856aa7daeadde607fca96a602601bcd131e7a87713a8c57a21015f141c90239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a807f4aad0e186f62b07bf4cdc0a098dabae2abe65fab6628ffd239843f3202a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-12T13:08:23Z",
    "title_canon_sha256": "4d51e3e0ed60f3e7cb2506ed0b61bc581a55a4b8082d2b675d48fe1591e457e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3504",
    "kind": "arxiv",
    "version": 1
  }
}