pith. sign in
Pith Number

pith:JDQPSXK2

pith:2012:JDQPSXK2RD32KBHSLH5CNGI2KJ
not attested not anchored not stored refs pending

Three ways to cover a graph

Kolja Knauer, Torsten Ueckerdt

arxiv:1205.1627 v3 · 2012-05-08 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JDQPSXK2RD32KBHSLH5CNGI2KJ}

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 2026-05-18T01:31:19.380176Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

48e0f95d5a88f7a504f259fa26991a527744c7eb08b89efcd387739d980d549b

Aliases

arxiv: 1205.1627 · arxiv_version: 1205.1627v3 · doi: 10.48550/arxiv.1205.1627 · pith_short_12: JDQPSXK2RD32 · pith_short_16: JDQPSXK2RD32KBHS · pith_short_8: JDQPSXK2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JDQPSXK2RD32KBHSLH5CNGI2KJ \
  | 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: 48e0f95d5a88f7a504f259fa26991a527744c7eb08b89efcd387739d980d549b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7b27b59f4a4b1a2357f3bf014f2a52919880972e7a63181fa32c0f44129cea17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-08T08:35:24Z",
    "title_canon_sha256": "e7bfb44f343b0039101cff06209b880a3e1adfee379e4153ce21dfbbc09617af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1627",
    "kind": "arxiv",
    "version": 3
  }
}