Pith Number

pith:MA6WMPD4

pith:2010:MA6WMPD4KGMQIXOFGIRDCTYT34

not attested not anchored not stored refs pending

On the cycle map for products of elliptic curves over a $p$-adic field

Seiji Hirayama, Toshiro Hiranouchi

arxiv:1010.2600 v1 · 2010-10-13 · math.NT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MA6WMPD4KGMQIXOFGIRDCTYT34}

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	2026-05-18T04:39:27.241927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

603d663c7c5199045dc53222314f13df085f02cc88fab2a721db671441307e13

Aliases

arxiv: 1010.2600 · arxiv_version: 1010.2600v1 · doi: 10.48550/arxiv.1010.2600 · pith_short_12: MA6WMPD4KGMQ · pith_short_16: MA6WMPD4KGMQIXOF · pith_short_8: MA6WMPD4

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/MA6WMPD4KGMQIXOFGIRDCTYT34 \
  | 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: 603d663c7c5199045dc53222314f13df085f02cc88fab2a721db671441307e13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63d68bf1374587bae06e21fc454f1d0b59159e277984cb2055a6287e0504936",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-13T08:51:03Z",
    "title_canon_sha256": "a3f1eb913ab7d23f22d5a7d93ff64ad360a0aa9a397647e0892c8cfdff0b0bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2600",
    "kind": "arxiv",
    "version": 1
  }
}