Pith Number

pith:5IATJQA3

pith:2016:5IATJQA3WA7LHLDN3D6L64KMRK

not attested not anchored not stored refs pending

From expanded digraphs to lifts of voltage digraphs and line digraphs

C. Dalf\'o, J. Ryan, M.A. Fiol, M. Miller

arxiv:1608.06233 v2 · 2016-08-22 · 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{5IATJQA3WA7LHLDN3D6L64KMRK}

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	2026-05-18T01:03:32.305048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea0134c01bb03eb3ac6dd8fcbf714c8a91e1b0d345585dedaa916d2bfbc30d05

Aliases

arxiv: 1608.06233 · arxiv_version: 1608.06233v2 · doi: 10.48550/arxiv.1608.06233 · pith_short_12: 5IATJQA3WA7L · pith_short_16: 5IATJQA3WA7LHLDN · pith_short_8: 5IATJQA3

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/5IATJQA3WA7LHLDN3D6L64KMRK \
  | 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: ea0134c01bb03eb3ac6dd8fcbf714c8a91e1b0d345585dedaa916d2bfbc30d05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4032dd25bd26423384a3baf9a0ea593ca9bfd350fdd289447350bd71da3817e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-22T17:43:05Z",
    "title_canon_sha256": "221b6e8221b76bf3f14c03a804e0116b7b88f1915758ecfaf53156df579f8d0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06233",
    "kind": "arxiv",
    "version": 2
  }
}