Pith Number

pith:44XJJABN

pith:2015:44XJJABNDGTB2RFHX6AYMRC2W4

not attested not anchored not stored refs pending

Graphs with Eulerian unit spheres

Oliver Knill

arxiv:1501.03116 v1 · 2015-01-12 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44XJJABNDGTB2RFHX6AYMRC2W4}

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	2026-05-18T02:29:30.474796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e72e94802d19a61d44a7bf8186445ab7264a36e75b8cc9e0a677380535759b01

Aliases

arxiv: 1501.03116 · arxiv_version: 1501.03116v1 · doi: 10.48550/arxiv.1501.03116 · pith_short_12: 44XJJABNDGTB · pith_short_16: 44XJJABNDGTB2RFH · pith_short_8: 44XJJABN

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/44XJJABNDGTB2RFHX6AYMRC2W4 \
  | 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: e72e94802d19a61d44a7bf8186445ab7264a36e75b8cc9e0a677380535759b01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5be04ec0f8a227b3db11084d887113d64cf31f4c2ab307575c38d2207640ce8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-12T13:29:29Z",
    "title_canon_sha256": "1c1f6a138e2ecb93ff6f0d364e9ae6887ca42bda03769ae5f19d214c154dadf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03116",
    "kind": "arxiv",
    "version": 1
  }
}