Pith Number

pith:AEZLVH3P

pith:2012:AEZLVH3PXZDDYXEQAMN4FU6XVF

not attested not anchored not stored refs pending

Utility Optimization in Heterogeneous Networks via CSMA-Based Algorithms

Lisa Zhang, Matthew Andrews

arxiv:1211.4258 v3 · 2012-11-18 · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEZLVH3PXZDDYXEQAMN4FU6XVF}

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	2026-05-18T03:37:19.957265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0132ba9f6fbe463c5c90031bc2d3d7a94819396e4a38d92cbf6728b595dcaf4c

Aliases

arxiv: 1211.4258 · arxiv_version: 1211.4258v3 · doi: 10.48550/arxiv.1211.4258 · pith_short_12: AEZLVH3PXZDD · pith_short_16: AEZLVH3PXZDDYXEQ · pith_short_8: AEZLVH3P

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/AEZLVH3PXZDDYXEQAMN4FU6XVF \
  | 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: 0132ba9f6fbe463c5c90031bc2d3d7a94819396e4a38d92cbf6728b595dcaf4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce417db64dbdf1f3aac9f67c2d8c4b3b690daeed42cf7956c88b6103cdea75b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2012-11-18T21:15:13Z",
    "title_canon_sha256": "90a6979747e2d9010adebe0135d1bdd914395d1ab3367ac315dd1841618d8f8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4258",
    "kind": "arxiv",
    "version": 3
  }
}