Pith Number

pith:ITX7DUV7

pith:2012:ITX7DUV7M7MVZPWCZPPW7FJQGD

not attested not anchored not stored refs pending

Traces of Torsion Units

A.C. Souza Filho, A. De A. E Silva, S.O. Juriaans

arxiv:1210.1879 v1 · 2012-10-05 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITX7DUV7M7MVZPWCZPPW7FJQGD}

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	2026-05-18T03:43:51.686937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44eff1d2bf67d95cbec2cbdf6f953030ce937914cb5ec61fe599f97d00b32e0c

Aliases

arxiv: 1210.1879 · arxiv_version: 1210.1879v1 · doi: 10.48550/arxiv.1210.1879 · pith_short_12: ITX7DUV7M7MV · pith_short_16: ITX7DUV7M7MVZPWC · pith_short_8: ITX7DUV7

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/ITX7DUV7M7MVZPWCZPPW7FJQGD \
  | 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: 44eff1d2bf67d95cbec2cbdf6f953030ce937914cb5ec61fe599f97d00b32e0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e40a1c56b871c7060415a7168ff6de9c52a28f124df078899b11799b0e6d7aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-05T22:11:55Z",
    "title_canon_sha256": "09d1bcdd7316c42d852130141b0397c8d20b4122e79268ab9349094e91688652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1879",
    "kind": "arxiv",
    "version": 1
  }
}