Pith Number

pith:QKVYDX7B

pith:2005:QKVYDX7BHAWXI2G3TJ57QJEV2K

not attested not anchored not stored refs pending

Palindromic primitives and palindromic bases in the free group of rank two

Adam Piggott

arxiv:math/0507049 v1 · 2005-07-04 · 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{QKVYDX7BHAWXI2G3TJ57QJEV2K}

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	2026-05-17T23:54:37.244238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82ab81dfe1382d7468db9a7bf82495d2b7f15eee1320c23aef6cbcaf53d9f186

Aliases

arxiv: math/0507049 · arxiv_version: math/0507049v1 · doi: 10.48550/arxiv.math/0507049 · pith_short_12: QKVYDX7BHAWX · pith_short_16: QKVYDX7BHAWXI2G3 · pith_short_8: QKVYDX7B

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/QKVYDX7BHAWXI2G3TJ57QJEV2K \
  | 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: 82ab81dfe1382d7468db9a7bf82495d2b7f15eee1320c23aef6cbcaf53d9f186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add9ac41121f95ae13d4f5e8ab24a7f188346353e0dfa8d12efa5c1af18d4302",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-07-04T04:57:54Z",
    "title_canon_sha256": "dcf4ba5463c24fd0eb48d61b4d03ace9ae2f1a4fbe21392b002ac05aafd65da6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507049",
    "kind": "arxiv",
    "version": 1
  }
}