Pith Number

pith:T3SMELEA

pith:2016:T3SMELEASQDZYLMUKGSPYLFWX3

not attested not anchored not stored refs pending

Power Graph and Exchange Property for Resolving Sets

Ghulam Abbas, Syed Ahtisham Bokhary, Usman Ali

arxiv:1603.09518 v1 · 2016-03-31 · 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{T3SMELEASQDZYLMUKGSPYLFWX3}

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	2026-05-18T01:17:58.376565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee4c22c8094079c2d9451a4fc2cb6becd853d537ff75e29c4d90c7d19b1709d

Aliases

arxiv: 1603.09518 · arxiv_version: 1603.09518v1 · doi: 10.48550/arxiv.1603.09518 · pith_short_12: T3SMELEASQDZ · pith_short_16: T3SMELEASQDZYLMU · pith_short_8: T3SMELEA

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/T3SMELEASQDZYLMUKGSPYLFWX3 \
  | 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: 9ee4c22c8094079c2d9451a4fc2cb6becd853d537ff75e29c4d90c7d19b1709d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8e5fa417ac45d46d3a84bbefb3fce54d0b3d82317279b64408cb1bcaf382d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-31T10:35:15Z",
    "title_canon_sha256": "b7f487024d4624374c79ce6e16f0cdedf6764229083116faaac0514a7655c826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09518",
    "kind": "arxiv",
    "version": 1
  }
}