Pith Number

pith:OJTHKMVA

pith:2013:OJTHKMVAUG46UPI2EVUNHJN5BV

not attested not anchored not stored refs pending

SL2 homomorphic hash functions: Worst case to average case reduction and short collision search

Boaz Tsaban, Ciaran Mullan

arxiv:1306.5646 v3 · 2013-06-24 · cs.CR · 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{OJTHKMVAUG46UPI2EVUNHJN5BV}

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	2026-05-18T01:10:38.966236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72667532a0a1b9ea3d1a2568d3a5bd0d64660c965b8c6c2a4124281d5fd8143d

Aliases

arxiv: 1306.5646 · arxiv_version: 1306.5646v3 · doi: 10.48550/arxiv.1306.5646 · pith_short_12: OJTHKMVAUG46 · pith_short_16: OJTHKMVAUG46UPI2 · pith_short_8: OJTHKMVA

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/OJTHKMVAUG46UPI2EVUNHJN5BV \
  | 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: 72667532a0a1b9ea3d1a2568d3a5bd0d64660c965b8c6c2a4124281d5fd8143d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d307063314ce58f2b44dc30a66fd5a687c24741ea4bd02966ce2becaaa8189",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2013-06-24T14:55:08Z",
    "title_canon_sha256": "1b6373d3d0490f851bb98b8c72288f74b982e653e1726da3302ed58cf7de6403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5646",
    "kind": "arxiv",
    "version": 3
  }
}