Pith Number

pith:SP7P2KJR

pith:2010:SP7P2KJRP22YNKI7TOZ2TQUN7V

not attested not anchored not stored refs pending

Akashi series of Selmer groups

Sarah Livia Zerbes

arxiv:1005.0394 v1 · 2010-05-03 · 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{SP7P2KJRP22YNKI7TOZ2TQUN7V}

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	2026-05-18T01:24:31.139259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93fefd29317eb586a91f9bb3a9c28dfd770b9fe8c1cbca20b804ecd1dd9c5edb

Aliases

arxiv: 1005.0394 · arxiv_version: 1005.0394v1 · doi: 10.48550/arxiv.1005.0394 · pith_short_12: SP7P2KJRP22Y · pith_short_16: SP7P2KJRP22YNKI7 · pith_short_8: SP7P2KJR

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/SP7P2KJRP22YNKI7TOZ2TQUN7V \
  | 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: 93fefd29317eb586a91f9bb3a9c28dfd770b9fe8c1cbca20b804ecd1dd9c5edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b00925436627e3918ddf91ff014b5e259689f9221d055251836f0ec922752c6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-03T20:13:30Z",
    "title_canon_sha256": "3611d90a7b7b95f30ede3c5a6ab40fe931f748494d76257fdaf770635e815832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0394",
    "kind": "arxiv",
    "version": 1
  }
}