Pith Number

pith:6MDPYKQT

pith:2016:6MDPYKQTH7X5TIF3YWV3XD3DKJ

not attested not anchored not stored refs pending

Shifts of the Stable Kneser Graphs and Hom-Idempotence

Mario Valencia-Pabon, Pablo Torres

arxiv:1604.07023 v1 · 2016-04-24 · 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{6MDPYKQTH7X5TIF3YWV3XD3DKJ}

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	2026-05-18T01:16:23.267310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f306fc2a133fefd9a0bbc5abbb8f6352768247fa98f34f748fcb00b49c002213

Aliases

arxiv: 1604.07023 · arxiv_version: 1604.07023v1 · doi: 10.48550/arxiv.1604.07023 · pith_short_12: 6MDPYKQTH7X5 · pith_short_16: 6MDPYKQTH7X5TIF3 · pith_short_8: 6MDPYKQT

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/6MDPYKQTH7X5TIF3YWV3XD3DKJ \
  | 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: f306fc2a133fefd9a0bbc5abbb8f6352768247fa98f34f748fcb00b49c002213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79393e25a8ace9deb788d37afbc6105649d12b555cf80c54de95304176d37cef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-24T13:00:12Z",
    "title_canon_sha256": "fc48f25aeb5255bc08e3ffe21820ca630e1547d997be57b2d9c4abfc8333f736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07023",
    "kind": "arxiv",
    "version": 1
  }
}