Pith Number

pith:3PB2MRZM

pith:2019:3PB2MRZMTBVGUQ2DYIYJZH2JPN

not attested not anchored not stored refs pending

New Algorithms and Lower Bounds for All-Pairs Max-Flow in Undirected Graphs

Amir Abboud, Ohad Trabelsi, Robert Krauthgamer

arxiv:1901.01412 v4 · 2019-01-05 · 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{3PB2MRZMTBVGUQ2DYIYJZH2JPN}

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	2026-05-17T23:41:00.938437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc3a6472c986a6a4343c2309c9f497b7b45786cef865b686623570949c6e0b3

Aliases

arxiv: 1901.01412 · arxiv_version: 1901.01412v4 · doi: 10.48550/arxiv.1901.01412 · pith_short_12: 3PB2MRZMTBVG · pith_short_16: 3PB2MRZMTBVGUQ2D · pith_short_8: 3PB2MRZM

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/3PB2MRZMTBVGUQ2DYIYJZH2JPN \
  | 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: dbc3a6472c986a6a4343c2309c9f497b7b45786cef865b686623570949c6e0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "914b4d7ef3aa798038279a209020d96efa0aad9bf71644aa8b628557e2ea1815",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-01-05T13:20:46Z",
    "title_canon_sha256": "f3644d24e97ec5cd1b3677795b0fc55b52d823995b2f7ca80f1b0d0d494889b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01412",
    "kind": "arxiv",
    "version": 4
  }
}