Pith Number

pith:C2JOCH5R

pith:2016:C2JOCH5RIHFXYJSOXUV66ME2KR

not attested not anchored not stored refs pending

On Low-High Orders of Directed Graphs: Incremental Algorithms and Applications

Aikaterini Karanasiou, Giannis Konstantinos, Loukas Georgiadis, Luigi Laura

arxiv:1608.06462 v1 · 2016-08-23 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C2JOCH5RIHFXYJSOXUV66ME2KR}

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	2026-05-18T01:08:13.965783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1692e11fb141cb7c264ebd2bef309a54440122e038b5d59d7c20d0957b273436

Aliases

arxiv: 1608.06462 · arxiv_version: 1608.06462v1 · doi: 10.48550/arxiv.1608.06462 · pith_short_12: C2JOCH5RIHFX · pith_short_16: C2JOCH5RIHFXYJSO · pith_short_8: C2JOCH5R

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/C2JOCH5RIHFXYJSOXUV66ME2KR \
  | 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: 1692e11fb141cb7c264ebd2bef309a54440122e038b5d59d7c20d0957b273436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aad31d6e51a5068197e31480a3277dad3a5fc92a3f204685b5a767c6dedb203",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-08-23T11:10:10Z",
    "title_canon_sha256": "88db54ce0a348ce7ab34438574bfaf2c6d9388385930ae506b37f4d9534e1a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06462",
    "kind": "arxiv",
    "version": 1
  }
}