Pith Number

pith:4YNJDRNS

pith:2016:4YNJDRNSWRL7NX5F2TCRC7RYGB

not attested not anchored not stored refs pending

Irregularities of distributions and extremal sets in combinatorial complexity theory

Aicke Hinrichs, Christoph Aistleitner

arxiv:1612.00617 v2 · 2016-12-02 · math.NA · 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{4YNJDRNSWRL7NX5F2TCRC7RYGB}

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	2026-05-18T00:39:06.899668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61a91c5b2b457f6dfa5d4c5117e38307f167810f5b065ec28c89a8efa4cdb76

Aliases

arxiv: 1612.00617 · arxiv_version: 1612.00617v2 · doi: 10.48550/arxiv.1612.00617 · pith_short_12: 4YNJDRNSWRL7 · pith_short_16: 4YNJDRNSWRL7NX5F · pith_short_8: 4YNJDRNS

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/4YNJDRNSWRL7NX5F2TCRC7RYGB \
  | 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: e61a91c5b2b457f6dfa5d4c5117e38307f167810f5b065ec28c89a8efa4cdb76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c57bad5f89f915fbd2707c8e1e8bee9914ec389ca2eed749b45330a17594a44",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-02T10:21:41Z",
    "title_canon_sha256": "b21e606fa4eea0da0a122ba47e7eb2f52c0673d53ec3a421edc18bd299d62cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00617",
    "kind": "arxiv",
    "version": 2
  }
}