Pith Number

pith:UV37JHLE

pith:2016:UV37JHLEVAONXKUJTFQGF4AZZG

not attested not anchored not stored refs pending

Perfect State Transfer on gcd-graphs

Bikash Bhattacharjya, Hiranmoy Pal

arxiv:1601.07647 v2 · 2016-01-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UV37JHLEVAONXKUJTFQGF4AZZG}

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	2026-05-17T23:56:56.261020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a577f49d64a81cdbaa89996062f019c98293281a4cb15b559a79c72c5f93e7f8

Aliases

arxiv: 1601.07647 · arxiv_version: 1601.07647v2 · doi: 10.48550/arxiv.1601.07647 · pith_short_12: UV37JHLEVAON · pith_short_16: UV37JHLEVAONXKUJ · pith_short_8: UV37JHLE

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/UV37JHLEVAONXKUJTFQGF4AZZG \
  | 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: a577f49d64a81cdbaa89996062f019c98293281a4cb15b559a79c72c5f93e7f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13822668cc21aa5e01f4b54f793db67583d1695292d2ff0f8840017455bcd85f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-28T05:08:59Z",
    "title_canon_sha256": "34d16781d70637b33a305fcd6ebfe9374fda884fcbe4c3daf8a3050add6c7a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07647",
    "kind": "arxiv",
    "version": 2
  }
}