Pith Number

pith:IZ3CZKH2

pith:2016:IZ3CZKH2MNRB3SEFJJM4K2ZF5L

not attested not anchored not stored refs pending

Calibrating word problems of groups via the complexity of equivalence relations

Andrea Sorbi, Andr\'e Nies

arxiv:1609.03371 v1 · 2016-09-12 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZ3CZKH2MNRB3SEFJJM4K2ZF5L}

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	2026-05-18T01:04:47.098577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46762ca8fa63621dc8854a59c56b25eac4dda003e585e04f825614c2284e27a9

Aliases

arxiv: 1609.03371 · arxiv_version: 1609.03371v1 · doi: 10.48550/arxiv.1609.03371 · pith_short_12: IZ3CZKH2MNRB · pith_short_16: IZ3CZKH2MNRB3SEF · pith_short_8: IZ3CZKH2

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/IZ3CZKH2MNRB3SEFJJM4K2ZF5L \
  | 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: 46762ca8fa63621dc8854a59c56b25eac4dda003e585e04f825614c2284e27a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "498ab45840424bb50432a869ed29285cf2d320bc7dc760b32967c58bbb150487",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-09-12T12:38:46Z",
    "title_canon_sha256": "ae703264d650022fc12edf877b870d2e991fa0eb380e3ba79ce4ec4644d315a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03371",
    "kind": "arxiv",
    "version": 1
  }
}