Pith Number

pith:OOPETTMJ

pith:2021:OOPETTMJTMEQTQXCNQMKJRQW32

not attested not anchored not stored refs pending

A Tight Max-Flow Min-Cut Duality Theorem for Non-Linear Multicommodity Flows

Bala Krishnamoorthy, Matthew Broussard

arxiv:2107.04252 v2 · 2021-07-09 · cs.DS · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOPETTMJTMEQTQXCNQMKJRQW32}

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.

Cited by

1 paper in Pith

Toward a Generalized Defense Across Sparse, Continuous, and Structured Parameter Attacks

Receipt and verification

First computed	2026-07-05T07:51:22.916172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739e49cd899b0909c2e26c18a4c616deb348a9ffc6c66bbfc2f703278dc39f92

Aliases

arxiv: 2107.04252 · arxiv_version: 2107.04252v2 · doi: 10.48550/arxiv.2107.04252 · pith_short_12: OOPETTMJTMEQ · pith_short_16: OOPETTMJTMEQTQXC · pith_short_8: OOPETTMJ

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/OOPETTMJTMEQTQXCNQMKJRQW32 \
  | 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: 739e49cd899b0909c2e26c18a4c616deb348a9ffc6c66bbfc2f703278dc39f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df52162ce87c27084097868a05686935e4a60dcea35bdc1c066ec4b63bbb33a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-07-09T06:52:44Z",
    "title_canon_sha256": "79a1230ead9ffebe94f9ae213c0cf7256d5f39fde25ebc04156527611636908f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04252",
    "kind": "arxiv",
    "version": 2
  }
}