Pith Number

pith:N5UXNCBH

pith:2012:N5UXNCBHJ7JQ6G56U2UWBMIJWZ

not attested not anchored not stored refs pending

Sur les repr\'esentations absolument na\"ives et leur module de Wach

Floric Tavares Ribeiro

arxiv:1210.2912 v1 · 2012-10-10 · 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{N5UXNCBHJ7JQ6G56U2UWBMIJWZ}

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	2026-05-18T03:43:31.151418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f697688274fd30f1bbea6a960b109b670a1f3c2aef20ccda53cf59614b19b26

Aliases

arxiv: 1210.2912 · arxiv_version: 1210.2912v1 · doi: 10.48550/arxiv.1210.2912 · pith_short_12: N5UXNCBHJ7JQ · pith_short_16: N5UXNCBHJ7JQ6G56 · pith_short_8: N5UXNCBH

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/N5UXNCBHJ7JQ6G56U2UWBMIJWZ \
  | 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: 6f697688274fd30f1bbea6a960b109b670a1f3c2aef20ccda53cf59614b19b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e69d9b6fd885ccc59c026510747523586b2da799bbae1e52b5a117d4c726965c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-10T13:36:54Z",
    "title_canon_sha256": "46e8fb7f0003d34bf3a17f9077511c4505e277ae71a7308abdb1016c300f6538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2912",
    "kind": "arxiv",
    "version": 1
  }
}