Pith Number

pith:3VBYCSCO

pith:2015:3VBYCSCOMGSZ6W444O7IWI7LIY

not attested not anchored not stored refs pending

Differential Calculus on Cayley Graphs

Daniel R. Patten, David W. Jakel, Howard A. Blair, Robert J. Irwin

arxiv:1504.08013 v1 · 2015-04-29 · cs.DM · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VBYCSCOMGSZ6W444O7IWI7LIY}

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	2026-05-18T02:17:10.708261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4381484e61a59f5b9ce3be8b23eb461c691c85556bbbdc634bdb5c411e5c44

Aliases

arxiv: 1504.08013 · arxiv_version: 1504.08013v1 · doi: 10.48550/arxiv.1504.08013 · pith_short_12: 3VBYCSCOMGSZ · pith_short_16: 3VBYCSCOMGSZ6W44 · pith_short_8: 3VBYCSCO

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/3VBYCSCOMGSZ6W444O7IWI7LIY \
  | 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: dd4381484e61a59f5b9ce3be8b23eb461c691c85556bbbdc634bdb5c411e5c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4112b2aefb032d8bd510c027a5752bac084c975446df04da8e2c01190911ec30",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-04-29T20:26:46Z",
    "title_canon_sha256": "2e3d2e2b5411037cd1792cf0dddd12b4d4695d82fdcf6812e0bdac3d4d9a91fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08013",
    "kind": "arxiv",
    "version": 1
  }
}