Pith Number

pith:AVD6SO2S

pith:2016:AVD6SO2SG55753L3E2K6XGGKWY

not attested not anchored not stored refs pending

An algebraic approach to lifts of digraphs

C. Dalf\'o, J. Ryan, J. \v{S}ir\'a\v{n}, M.A. Fiol, M. Miller

arxiv:1612.08855 v2 · 2016-12-28 · 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{AVD6SO2SG55753L3E2K6XGGKWY}

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	2026-05-18T00:41:47.804053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0547e93b52377bfeed7b2695eb98cab62fb18cae7bf488cab270b886ab567898

Aliases

arxiv: 1612.08855 · arxiv_version: 1612.08855v2 · doi: 10.48550/arxiv.1612.08855 · pith_short_12: AVD6SO2SG557 · pith_short_16: AVD6SO2SG55753L3 · pith_short_8: AVD6SO2S

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/AVD6SO2SG55753L3E2K6XGGKWY \
  | 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: 0547e93b52377bfeed7b2695eb98cab62fb18cae7bf488cab270b886ab567898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d083537015dfad9121c578ea124e4df82e0e8cf5e039307fac33a9cc6451910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-28T11:27:16Z",
    "title_canon_sha256": "7f6beab1bfe457a37c19191f1376036a1b0b889632368ede3d3fa0793e2ec423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08855",
    "kind": "arxiv",
    "version": 2
  }
}