Pith Number

pith:54SACOPL

pith:2013:54SACOPLYNUQGEP6CWSPKEBRYD

not attested not anchored not stored refs pending

Realising the cup-product of local Tate duality

Rachel Newton

arxiv:1307.2795 v1 · 2013-07-10 · math.NT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54SACOPLYNUQGEP6CWSPKEBRYD}

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	2026-05-18T03:18:50.447190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef240139ebc3690311fe15a4f51031c0dfef1855324778ca3d3ea7590e85fdd8

Aliases

arxiv: 1307.2795 · arxiv_version: 1307.2795v1 · doi: 10.48550/arxiv.1307.2795 · pith_short_12: 54SACOPLYNUQ · pith_short_16: 54SACOPLYNUQGEP6 · pith_short_8: 54SACOPL

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/54SACOPLYNUQGEP6CWSPKEBRYD \
  | 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: ef240139ebc3690311fe15a4f51031c0dfef1855324778ca3d3ea7590e85fdd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88aee5f1cfacdd7183e4513887e130abd53d3857c4b334349dc5a66dda7ff56c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-10T14:00:44Z",
    "title_canon_sha256": "4e931aaae2a85076f4f39874661a8bbb7b37773351bcd9eaf7d9c4826e66952c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2795",
    "kind": "arxiv",
    "version": 1
  }
}