Pith Number

pith:MHWXC5WN

pith:2016:MHWXC5WN2SMOVWHFBVJK2DSSYV

not attested not anchored not stored refs pending

A zero-sum problem on graphs

Daniel Wei{\ss}auer

arxiv:1610.04407 v1 · 2016-10-14 · 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{MHWXC5WN2SMOVWHFBVJK2DSSYV}

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	2026-05-18T01:02:15.314297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ed7176cdd498ead8e50d52ad0e52c569fec5b6b19bc13d12477591c91eb05c

Aliases

arxiv: 1610.04407 · arxiv_version: 1610.04407v1 · doi: 10.48550/arxiv.1610.04407 · pith_short_12: MHWXC5WN2SMO · pith_short_16: MHWXC5WN2SMOVWHF · pith_short_8: MHWXC5WN

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/MHWXC5WN2SMOVWHFBVJK2DSSYV \
  | 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: 61ed7176cdd498ead8e50d52ad0e52c569fec5b6b19bc13d12477591c91eb05c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8afa7d41a2b3a42ba7fef42f5e86313421729d374e9fcb016c0c9d64ad37fd34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-14T11:13:27Z",
    "title_canon_sha256": "602162285bfba53772e3b9db6156966e282b8d6b9ad3925cee7677428251a41a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04407",
    "kind": "arxiv",
    "version": 1
  }
}