Pith Number

pith:HIRU3FWQ

pith:2016:HIRU3FWQOZKSXVOA7ZXPKKHABY

not attested not anchored not stored refs pending

Fault tolerant supergraphs with automorphisms

Ashwin Ganesan

arxiv:1604.04855 v3 · 2016-04-17 · cs.DM · cs.NI · 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{HIRU3FWQOZKSXVOA7ZXPKKHABY}

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	2026-05-18T00:34:31.760258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a234d96d076552bd5c0fe6ef528e00e08b81150db1ab592465d55dbb3d37ba2

Aliases

arxiv: 1604.04855 · arxiv_version: 1604.04855v3 · doi: 10.48550/arxiv.1604.04855 · pith_short_12: HIRU3FWQOZKS · pith_short_16: HIRU3FWQOZKSXVOA · pith_short_8: HIRU3FWQ

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/HIRU3FWQOZKSXVOA7ZXPKKHABY \
  | 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: 3a234d96d076552bd5c0fe6ef528e00e08b81150db1ab592465d55dbb3d37ba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "656cd8ea0eab72a615be25e6d3ed1950e9de0bb60b9bb310e79b6fae6aca6f8c",
    "cross_cats_sorted": [
      "cs.NI",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-04-17T09:42:38Z",
    "title_canon_sha256": "65e65c868332b3470d857b152ef7905ffba3e30abd5d1f38bef152dd4d3f7953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04855",
    "kind": "arxiv",
    "version": 3
  }
}