Pith Number

pith:VONOEP56

pith:2021:VONOEP56I4WBM266X3G6BRH535

not attested not anchored not stored refs pending

Fast Algorithms for Packing Proportional Fairness and its Dual

David Mart\'inez-Rubio, Francisco Criado, Sebastian Pokutta

arxiv:2109.03678 v2 · 2021-09-08 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VONOEP56I4WBM266X3G6BRH535}

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	2026-07-05T05:19:33.098362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9ae23fbe472c166bdebecde0c4fddf72874b7991e0ad61ddfde86e6b1b99f2

Aliases

arxiv: 2109.03678 · arxiv_version: 2109.03678v2 · doi: 10.48550/arxiv.2109.03678 · pith_short_12: VONOEP56I4WB · pith_short_16: VONOEP56I4WBM266 · pith_short_8: VONOEP56

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/VONOEP56I4WBM266X3G6BRH535 \
  | 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: ab9ae23fbe472c166bdebecde0c4fddf72874b7991e0ad61ddfde86e6b1b99f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c36d9691d8c6b3227585a32e6297c4fd544e999eb4a7fa29ee7a833d0e8ea354",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-09-08T14:29:07Z",
    "title_canon_sha256": "bd5c574be3160e8bcb661bfe884e6ee052b7bafe12e00892ac7b52fb0681a403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.03678",
    "kind": "arxiv",
    "version": 2
  }
}