Pith Number

pith:I367ZGFI

pith:2013:I367ZGFIYXN5QXMOK7TGOHPJ6I

not attested not anchored not stored refs pending

The Complexity of Change

Jan van den Heuvel

arxiv:1312.2816 v1 · 2013-12-10 · cs.DM · 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{I367ZGFIYXN5QXMOK7TGOHPJ6I}

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	2026-05-18T03:05:08.673197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46fdfc98a8c5dbd85d8e57e6671de9f21fcbc392d6c10706f58c6b740daf3450

Aliases

arxiv: 1312.2816 · arxiv_version: 1312.2816v1 · doi: 10.48550/arxiv.1312.2816 · pith_short_12: I367ZGFIYXN5 · pith_short_16: I367ZGFIYXN5QXMO · pith_short_8: I367ZGFI

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/I367ZGFIYXN5QXMOK7TGOHPJ6I \
  | 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: 46fdfc98a8c5dbd85d8e57e6671de9f21fcbc392d6c10706f58c6b740daf3450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c0c923b015c47db3709f43c27995bf7d214c306aa307f61dd4f70c82e025cb1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-12-10T14:41:46Z",
    "title_canon_sha256": "e45f94feca29210b4f27821cba1f612b203a1c20a7d43859fbda61f313476777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2816",
    "kind": "arxiv",
    "version": 1
  }
}