Pith Number

pith:ESIPZOSC

pith:2006:ESIPZOSCSJUCKTT53UKCMPPPPV

not attested not anchored not stored refs pending

Spanning Forests of a Digraph and Their Applications

Pavel Chebotarev, Rafig Agaev

arxiv:math/0602061 v1 · 2006-02-03 · math.CO · cs.DM · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESIPZOSCSJUCKTT53UKCMPPPPV}

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	2026-07-04T14:53:22.651300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2490fcba429268254e7ddd14263def7d7b7b4f1155fa87875254b198852761e5

Aliases

arxiv: math/0602061 · arxiv_version: math/0602061v1 · doi: 10.48550/arxiv.math/0602061 · pith_short_12: ESIPZOSCSJUC · pith_short_16: ESIPZOSCSJUCKTT5 · pith_short_8: ESIPZOSC

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/ESIPZOSCSJUCKTT53UKCMPPPPV \
  | 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: 2490fcba429268254e7ddd14263def7d7b7b4f1155fa87875254b198852761e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b4a18e0ac98a2964630b324b4098a6b2aa96eaab207b6bd162f61cac574290",
    "cross_cats_sorted": [
      "cs.DM",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-02-03T14:50:56Z",
    "title_canon_sha256": "1659b22be5540d478c666efee421a2b8511e0490f1e6db8d4e8da3a3c1d18002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602061",
    "kind": "arxiv",
    "version": 1
  }
}