Pith Number

pith:RZOOSZ6G

pith:2015:RZOOSZ6GLQZ6QQXPMYR7GSLHY5

not attested not anchored not stored refs pending

$\chi_D(G)$, $|Aut(G)|$, and a variant of the Motion Lemma

Niranjan Balachandran, Sajith Padinhatteeri

arxiv:1505.03396 v1 · 2015-05-13 · 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{RZOOSZ6GLQZ6QQXPMYR7GSLHY5}

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	2026-05-18T02:12:09.289647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e5ce967c65c33e842ef6623f34967c745155b9ee78fc130e87c62e0f8e1fe19

Aliases

arxiv: 1505.03396 · arxiv_version: 1505.03396v1 · doi: 10.48550/arxiv.1505.03396 · pith_short_12: RZOOSZ6GLQZ6 · pith_short_16: RZOOSZ6GLQZ6QQXP · pith_short_8: RZOOSZ6G

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/RZOOSZ6GLQZ6QQXPMYR7GSLHY5 \
  | 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: 8e5ce967c65c33e842ef6623f34967c745155b9ee78fc130e87c62e0f8e1fe19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9673520b463d808d811e3ee38a8a285400572c23e1743e780d4dda0874fc067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-13T14:17:21Z",
    "title_canon_sha256": "1162bd2b4b9914f81ff94e6318409228b1673fea31e7c6bca2424305954a2243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03396",
    "kind": "arxiv",
    "version": 1
  }
}