Pith Number

pith:KK7KQ6FR

pith:2017:KK7KQ6FRQTOIY2HWEBF724DF3G

not attested not anchored not stored refs pending

Concave Flow on Small Depth Directed Networks

Anup B. Rao, Richard Peng, Tung Mai, Vijay V. Vazirani

arxiv:1704.07791 v1 · 2017-04-25 · 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{KK7KQ6FRQTOIY2HWEBF724DF3G}

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	2026-05-18T00:45:36.906371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52bea878b184dc8c68f6204bfd7065d9abea715369f384353d59667567572941

Aliases

arxiv: 1704.07791 · arxiv_version: 1704.07791v1 · doi: 10.48550/arxiv.1704.07791 · pith_short_12: KK7KQ6FRQTOI · pith_short_16: KK7KQ6FRQTOIY2HW · pith_short_8: KK7KQ6FR

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/KK7KQ6FRQTOIY2HWEBF724DF3G \
  | 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: 52bea878b184dc8c68f6204bfd7065d9abea715369f384353d59667567572941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccaa8212f5ba7b2dbfb56db00bfede5be6203de6fe188ee781e9940a4579b55d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-04-25T17:12:16Z",
    "title_canon_sha256": "e2dba5ff9f6c3fbfc072f535d3f4bdc507b14dacbc83864928adecb042569c12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07791",
    "kind": "arxiv",
    "version": 1
  }
}