Pith Number

pith:GLL5SSJI

pith:2017:GLL5SSJITE4QN5GKNIVCHDYOS4

not attested not anchored not stored refs pending

Distant sum distinguishing index of graphs

Jakub Przyby{\l}o

arxiv:1703.03712 v1 · 2017-03-10 · 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{GLL5SSJITE4QN5GKNIVCHDYOS4}

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	2026-05-18T00:21:35.206176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d7d94928993906f4ca6a2a238f0e972636c71268a19c3508a32e86229727b5

Aliases

arxiv: 1703.03712 · arxiv_version: 1703.03712v1 · doi: 10.48550/arxiv.1703.03712 · pith_short_12: GLL5SSJITE4Q · pith_short_16: GLL5SSJITE4QN5GK · pith_short_8: GLL5SSJI

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/GLL5SSJITE4QN5GKNIVCHDYOS4 \
  | 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: 32d7d94928993906f4ca6a2a238f0e972636c71268a19c3508a32e86229727b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33442c2668775604adfa500e224789e6f3ba2a643d4ef3f5b502787f011bf8c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-10T15:22:30Z",
    "title_canon_sha256": "32c6f7471d9a94839ba3b7805ba5d20507d5dedae7a6943fb8b18fc402ea4183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03712",
    "kind": "arxiv",
    "version": 1
  }
}