Pith Number

pith:7KJRKBB3

pith:2019:7KJRKBB3PPMQW6GUQJNW237DYX

not attested not anchored not stored refs pending

Efficient Black-Box Identity Testing over Free Group Algebra

Abhranil Chatterjee, Partha Mukhopadhyay, Rajit Datta, V.Arvind

arxiv:1904.12337 v1 · 2019-04-28 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KJRKBB3PPMQW6GUQJNW237DYX}

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	2026-05-17T23:47:36.735438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9315043b7bd90b78d4825b6d6fe3c5fc10837c508e19cc23ddf2f458d3454e

Aliases

arxiv: 1904.12337 · arxiv_version: 1904.12337v1 · doi: 10.48550/arxiv.1904.12337 · pith_short_12: 7KJRKBB3PPMQ · pith_short_16: 7KJRKBB3PPMQW6GU · pith_short_8: 7KJRKBB3

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/7KJRKBB3PPMQW6GUQJNW237DYX \
  | 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: fa9315043b7bd90b78d4825b6d6fe3c5fc10837c508e19cc23ddf2f458d3454e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1d59a155d6d13c0ec832a9b4b02f68db8a671ba5aa602ded01120e47112538b",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-04-28T15:48:00Z",
    "title_canon_sha256": "d686ce3820786bb998caf6b911f60604c4ee845b71aff011a8c1d1a09652376e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12337",
    "kind": "arxiv",
    "version": 1
  }
}