Pith Number

pith:WCUDJVLZ

pith:2018:WCUDJVLZSLHXT6THXOUOS5RZ44

not attested not anchored not stored refs pending

Cores, shell indices and the degeneracy of a graph limit

Johannes Rauh

arxiv:1805.03736 v1 · 2018-05-09 · 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{WCUDJVLZSLHXT6THXOUOS5RZ44}

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	2026-05-18T00:16:18.888697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a834d57992cf79fa67bba8e97639e715d865694801d54e7c81ccfaccb63e8b

Aliases

arxiv: 1805.03736 · arxiv_version: 1805.03736v1 · doi: 10.48550/arxiv.1805.03736 · pith_short_12: WCUDJVLZSLHX · pith_short_16: WCUDJVLZSLHXT6TH · pith_short_8: WCUDJVLZ

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/WCUDJVLZSLHXT6THXOUOS5RZ44 \
  | 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: b0a834d57992cf79fa67bba8e97639e715d865694801d54e7c81ccfaccb63e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57696be4a082806aa6563b0a4636c141d2fa3b1c854c77b24626ccac3945f38d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-09T21:17:06Z",
    "title_canon_sha256": "30f9fc35daadc5d6252492cdd44b02737d33a2a3493a3d2d83e4dad54f8c1393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03736",
    "kind": "arxiv",
    "version": 1
  }
}