Pith Number

pith:6THHQ53T

pith:2025:6THHQ53TOGIBPE6QBZ7AGLTYAY

not attested not anchored not stored refs pending

Conjugator Length in the Baumslag-Gersten Group

Conan Gillis

arxiv:2507.21505 v1 · 2025-07-29 · 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{6THHQ53TOGIBPE6QBZ7AGLTYAY}

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	2026-07-05T11:45:01.361729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ce78777371901793d00e7e032e78062c4498e123c3f6c98c883ae011861520

Aliases

arxiv: 2507.21505 · arxiv_version: 2507.21505v1 · doi: 10.48550/arxiv.2507.21505 · pith_short_12: 6THHQ53TOGIB · pith_short_16: 6THHQ53TOGIBPE6Q · pith_short_8: 6THHQ53T

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/6THHQ53TOGIBPE6QBZ7AGLTYAY \
  | 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: f4ce78777371901793d00e7e032e78062c4498e123c3f6c98c883ae011861520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea0b5c9506029acbe8c55aecbc6570a3395c16ce67c95b2d8043a627ea2eff00",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-07-29T04:58:47Z",
    "title_canon_sha256": "89fdad544981c025a51a4246b3a28cd7d47f98e9323c3fff9cb562d9d25e00cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21505",
    "kind": "arxiv",
    "version": 1
  }
}