Pith Number

pith:PRH6XYMK

pith:2014:PRH6XYMKPATKUP4GJP5MFBWXSM

not attested not anchored not stored refs pending

The Sparing Number of Certain Graph Powers

K. A. Germina, K. P. Chithra, N. K. Sudev

arxiv:1405.4787 v2 · 2014-05-14 · 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{PRH6XYMKPATKUP4GJP5MFBWXSM}

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	2026-05-18T01:37:23.494212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4febe18a7826aa3f864bfac286d7933aeadcb54c517b0f9cab5b245de3436a

Aliases

arxiv: 1405.4787 · arxiv_version: 1405.4787v2 · doi: 10.48550/arxiv.1405.4787 · pith_short_12: PRH6XYMKPATK · pith_short_16: PRH6XYMKPATKUP4G · pith_short_8: PRH6XYMK

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/PRH6XYMKPATKUP4GJP5MFBWXSM \
  | 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: 7c4febe18a7826aa3f864bfac286d7933aeadcb54c517b0f9cab5b245de3436a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f790ead7021943eeeeb32996419cb9d8f156e1dfa8570ceaa21ba5625ca6ffa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-14T17:12:23Z",
    "title_canon_sha256": "f2bad3a157d388e00754610074e3ad4e2c46091fd30d042ca505752a24baeb75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4787",
    "kind": "arxiv",
    "version": 2
  }
}