Pith Number

pith:2FED5RPE

pith:2012:2FED5RPEZULLPA2H5CRZ436EQ7

not attested not anchored not stored refs pending

Weakly Hyperbolic Involutions

Karim Johannes Becher, Thomas Unger

arxiv:1207.4658 v4 · 2012-07-19 · 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{2FED5RPEZULLPA2H5CRZ436EQ7}

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	2026-05-18T00:18:10.101441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1483ec5e4cd16b78347e8a39e6fc487ec0f3654adeb5ed2bebbe5350d012bd0

Aliases

arxiv: 1207.4658 · arxiv_version: 1207.4658v4 · doi: 10.48550/arxiv.1207.4658 · pith_short_12: 2FED5RPEZULL · pith_short_16: 2FED5RPEZULLPA2H · pith_short_8: 2FED5RPE

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/2FED5RPEZULLPA2H5CRZ436EQ7 \
  | 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: d1483ec5e4cd16b78347e8a39e6fc487ec0f3654adeb5ed2bebbe5350d012bd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "343bcaa84e1eed8d4e2bd6836dce8bb4a4c05124d1e8d643ef780e09e1c25da7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-19T13:25:46Z",
    "title_canon_sha256": "55ca7b56fa29365d3effbbfacf3a4cd40f5dd4c524f2129b9c7c09017277f54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4658",
    "kind": "arxiv",
    "version": 4
  }
}