Pith Number

pith:RJYYCPFL

pith:2018:RJYYCPFLF62UULPS6S5XCXHBIP

not attested not anchored not stored refs pending

A Combination Theorem for PD(n)-Pairs

Rita Gitik

arxiv:1812.10577 v1 · 2018-12-26 · 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{RJYYCPFLF62UULPS6S5XCXHBIP}

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	2026-05-17T23:57:20.608508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a71813cab2fb54a2df2f4bb715ce143e446028f22107c1e99febb691bd1bb74

Aliases

arxiv: 1812.10577 · arxiv_version: 1812.10577v1 · doi: 10.48550/arxiv.1812.10577 · pith_short_12: RJYYCPFLF62U · pith_short_16: RJYYCPFLF62UULPS · pith_short_8: RJYYCPFL

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/RJYYCPFLF62UULPS6S5XCXHBIP \
  | 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: 8a71813cab2fb54a2df2f4bb715ce143e446028f22107c1e99febb691bd1bb74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920d59c8998486f43f681bbd24aa0741ace6272155186721f1a58f0811a269d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-12-26T23:49:23Z",
    "title_canon_sha256": "cf7bb14aa020c7cf3224ccbed76807ec0164c7dc3c82f82dea79ed0ab644c76e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10577",
    "kind": "arxiv",
    "version": 1
  }
}