Pith Number

pith:TYMY7RQL

pith:2015:TYMY7RQLS4UUQSM3G7QKXGQRO5

not attested not anchored not stored refs pending

Palindromic Automorphisms of Free Nilpotent Groups

Krishnendu Gongopadhyay, Mahender Singh, Mikhail V. Neshchadim, Valeriy G. Bardakov

arxiv:1506.03195 v2 · 2015-06-10 · 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{TYMY7RQLS4UUQSM3G7QKXGQRO5}

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	2026-05-18T01:03:31.103883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e198fc60b972948499b37e0ab9a11777be80e6cf0586d1cfe3781ee3d11d89b

Aliases

arxiv: 1506.03195 · arxiv_version: 1506.03195v2 · doi: 10.48550/arxiv.1506.03195 · pith_short_12: TYMY7RQLS4UU · pith_short_16: TYMY7RQLS4UUQSM3 · pith_short_8: TYMY7RQL

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/TYMY7RQLS4UUQSM3G7QKXGQRO5 \
  | 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: 9e198fc60b972948499b37e0ab9a11777be80e6cf0586d1cfe3781ee3d11d89b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e79c58ee69b4e4c2914c4b2061190f5eade24326f4678df4b0005856204d9519",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-06-10T07:16:51Z",
    "title_canon_sha256": "a4d5a55577442f8c3d4f38b8460ea7b1ab60c7415cb04ea1d9e45120d8410a86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03195",
    "kind": "arxiv",
    "version": 2
  }
}