Pith Number

pith:QBQOSSHI

pith:2015:QBQOSSHIZTYI7JTOSOGA22MS6Q

not attested not anchored not stored refs pending

A note on the Bloch-Tamagawa space and Selmer groups

Niranjan Ramachandran

arxiv:1501.00640 v1 · 2015-01-04 · 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{QBQOSSHIZTYI7JTOSOGA22MS6Q}

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	2026-05-18T01:32:50.605042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8060e948e8ccf08fa66e938c0d6992f40dde761645661c809b6e91bce8a84197

Aliases

arxiv: 1501.00640 · arxiv_version: 1501.00640v1 · doi: 10.48550/arxiv.1501.00640 · pith_short_12: QBQOSSHIZTYI · pith_short_16: QBQOSSHIZTYI7JTO · pith_short_8: QBQOSSHI

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/QBQOSSHIZTYI7JTOSOGA22MS6Q \
  | 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: 8060e948e8ccf08fa66e938c0d6992f40dde761645661c809b6e91bce8a84197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14eae6302dca360e96b75332c5bfc1a42c1237672684eebb3cf1684ca6c3afc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-04T06:24:45Z",
    "title_canon_sha256": "d194356a3605ae76a700c794c43ac42db0191b3ca3ae5795fc5ef95c2648acaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00640",
    "kind": "arxiv",
    "version": 1
  }
}