Pith Number

pith:HIPUXHTK

pith:2012:HIPUXHTKD4XBPWSGGYBS7PC2ZC

not attested not anchored not stored refs pending

Points on Elliptic Curves Parametrizing Dynamical Galois Groups

Wade Hindes

arxiv:1208.6220 v3 · 2012-08-30 · 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{HIPUXHTKD4XBPWSGGYBS7PC2ZC}

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	2026-05-18T03:44:33.272891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a1f4b9e6a1f2e17da4636032fbc5ac89ffd75de0507bf73f05605aeeb340949

Aliases

arxiv: 1208.6220 · arxiv_version: 1208.6220v3 · doi: 10.48550/arxiv.1208.6220 · pith_short_12: HIPUXHTKD4XB · pith_short_16: HIPUXHTKD4XBPWSG · pith_short_8: HIPUXHTK

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/HIPUXHTKD4XBPWSGGYBS7PC2ZC \
  | 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: 3a1f4b9e6a1f2e17da4636032fbc5ac89ffd75de0507bf73f05605aeeb340949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba27ebe6ecc83314195056e93434d66f7cdb51ba78de7bb460edb13e2ad57111",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-30T16:11:52Z",
    "title_canon_sha256": "8200c1561458d479694c3a49748b0a867e470c6e6e96ea5caa82cb2a2d43a460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6220",
    "kind": "arxiv",
    "version": 3
  }
}