Pith Number

pith:EF3KXKX4

pith:2020:EF3KXKX46ZXFWMZE7ZZZHWXPUB

not attested not anchored not stored refs pending

Oriented cycles in digraphs of large outdegree

Lior Gishboliner, Raphael Steiner, Tibor Szab\'o

arxiv:2008.13224 v1 · 2020-08-30 · 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{EF3KXKX46ZXFWMZE7ZZZHWXPUB}

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	2026-07-05T01:31:35.428967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2176abaafcf66e5b3324fe7393daefa06a320a75cd7a94775492f7424decd3d3

Aliases

arxiv: 2008.13224 · arxiv_version: 2008.13224v1 · doi: 10.48550/arxiv.2008.13224 · pith_short_12: EF3KXKX46ZXF · pith_short_16: EF3KXKX46ZXFWMZE · pith_short_8: EF3KXKX4

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/EF3KXKX46ZXFWMZE7ZZZHWXPUB \
  | 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: 2176abaafcf66e5b3324fe7393daefa06a320a75cd7a94775492f7424decd3d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "690a96717e5c101b67a26d797d82f6b32b58af99fe631778659d886a3483234c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-08-30T17:31:45Z",
    "title_canon_sha256": "3015b9e1700845888a8327770761d82168ff512b4660803eafc2384c72cafb07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.13224",
    "kind": "arxiv",
    "version": 1
  }
}