Pith Number

pith:H2DLRAKM

pith:2009:H2DLRAKMIEJV4AHYV4GBVGNBBE

not attested not anchored not stored refs pending

The real field with the rational points of an elliptic curve

Ayhan Gunaydin, Philipp Hieronymi

arxiv:0906.0528 v5 · 2009-06-02 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2DLRAKMIEJV4AHYV4GBVGNBBE}

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	2026-05-18T04:34:27.986091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e86b8814c41135e00f8af0c1a99a109214b0830061f36f30ab2102ea9c07d64

Aliases

arxiv: 0906.0528 · arxiv_version: 0906.0528v5 · doi: 10.48550/arxiv.0906.0528 · pith_short_12: H2DLRAKMIEJV · pith_short_16: H2DLRAKMIEJV4AHY · pith_short_8: H2DLRAKM

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/H2DLRAKMIEJV4AHYV4GBVGNBBE \
  | 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: 3e86b8814c41135e00f8af0c1a99a109214b0830061f36f30ab2102ea9c07d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c836ba16a972db16fab89efd84156e1fa284c7530da4515384f4f3f18381c64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-06-02T16:32:37Z",
    "title_canon_sha256": "009cf0f988a3733fa20316e8ea777aaa164ae39fabe23b597856892eb1084328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0528",
    "kind": "arxiv",
    "version": 5
  }
}