Pith Number

pith:23TCTIL5

pith:2013:23TCTIL53BFE6SRMKRLKE25536

not attested not anchored not stored refs pending

Characteristic ideals and Iwasawa theory

Andrea Bandini, Francesc Bars, Ignazio Longhi

arxiv:1310.0680 v2 · 2013-10-02 · math.NT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23TCTIL53BFE6SRMKRLKE25536}

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	2026-05-18T02:47:16.012281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6e629a17dd84a4f4a2c5456a26bbddfb06051e41e923e417bd5da774e3622dd

Aliases

arxiv: 1310.0680 · arxiv_version: 1310.0680v2 · doi: 10.48550/arxiv.1310.0680 · pith_short_12: 23TCTIL53BFE · pith_short_16: 23TCTIL53BFE6SRM · pith_short_8: 23TCTIL5

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/23TCTIL53BFE6SRMKRLKE25536 \
  | 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: d6e629a17dd84a4f4a2c5456a26bbddfb06051e41e923e417bd5da774e3622dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "476e340a0f98f8eb192a4d41b5a866eb6a8892c1add7b05778c5209e7b1ea8e1",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-02T12:31:57Z",
    "title_canon_sha256": "ae57278c9460d3c090bd4a807c958a1b99545e222d484c33248e4551cad7aef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0680",
    "kind": "arxiv",
    "version": 2
  }
}