Pith Number

pith:5YUAR2ID

pith:2016:5YUAR2IDVZABDLG546TXIYD74F

not attested not anchored not stored refs pending

Paired Threshold Graphs

Gregory J. Puleo, Olgica Milenkovic, Sadegh Bolouki, Vida Ravanmehr

arxiv:1603.09701 v3 · 2016-03-31 · cs.SI · 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{5YUAR2IDVZABDLG546TXIYD74F}

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	2026-05-18T00:15:07.988313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2808e903ae4011acdde7a774607fe1701e1569089b9ebeb99791694e077322

Aliases

arxiv: 1603.09701 · arxiv_version: 1603.09701v3 · doi: 10.48550/arxiv.1603.09701 · pith_short_12: 5YUAR2IDVZAB · pith_short_16: 5YUAR2IDVZABDLG5 · pith_short_8: 5YUAR2ID

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/5YUAR2IDVZABDLG546TXIYD74F \
  | 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: ee2808e903ae4011acdde7a774607fe1701e1569089b9ebeb99791694e077322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac6be8de111bd6870f1be5685ee250982feea457605b399aac2c088da461e3ee",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2016-03-31T18:09:15Z",
    "title_canon_sha256": "bac76d1d932b7d4e5faa3a3e311253f75120f28e86facf79e55c17f7f4d2c0eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09701",
    "kind": "arxiv",
    "version": 3
  }
}