Pith Number

pith:MS7C2OWQ

pith:2013:MS7C2OWQ4RIMEH7TIKBWIQ2F7F

not attested not anchored not stored refs pending

Spanning embeddings of arrangeable graphs with sublinear bandwidth

Andreas W\"urfl, Anusch Taraz, Julia B\"ottcher

arxiv:1305.2078 v1 · 2013-05-09 · 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{MS7C2OWQ4RIMEH7TIKBWIQ2F7F}

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	2026-05-18T03:26:09.395743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64be2d3ad0e450c21ff34283644345f9584a8a5e882db2af85d42e9d45db2892

Aliases

arxiv: 1305.2078 · arxiv_version: 1305.2078v1 · doi: 10.48550/arxiv.1305.2078 · pith_short_12: MS7C2OWQ4RIM · pith_short_16: MS7C2OWQ4RIMEH7T · pith_short_8: MS7C2OWQ

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/MS7C2OWQ4RIMEH7TIKBWIQ2F7F \
  | 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: 64be2d3ad0e450c21ff34283644345f9584a8a5e882db2af85d42e9d45db2892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e7161e42ad6389c49a4015fd09d949cd438f0f4e16bde346a18d6144f42180",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-09T13:09:31Z",
    "title_canon_sha256": "f0261f9ad6965d93214116d1b646fed88fcc333d7e88f3fc6d4c105a1f8e3272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2078",
    "kind": "arxiv",
    "version": 1
  }
}