Pith Number

pith:XPBO43UV

pith:2015:XPBO43UVNY2TH6YXH7BRO3NIDT

not attested not anchored not stored refs pending

Complexity Analysis of CSMA Scheduling via Dependencies Matrix

Mahdi Azarafrooz, R. Chandramouli

arxiv:1509.05939 v1 · 2015-09-19 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPBO43UVNY2TH6YXH7BRO3NIDT}

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	2026-05-18T01:32:36.318489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc2ee6e956e3533fb173fc3176da81cf9db161d094b519a8d28b7d812676fed

Aliases

arxiv: 1509.05939 · arxiv_version: 1509.05939v1 · doi: 10.48550/arxiv.1509.05939 · pith_short_12: XPBO43UVNY2T · pith_short_16: XPBO43UVNY2TH6YX · pith_short_8: XPBO43UV

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/XPBO43UVNY2TH6YXH7BRO3NIDT \
  | 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: bbc2ee6e956e3533fb173fc3176da81cf9db161d094b519a8d28b7d812676fed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b36a79f3b6b50ef35998d1dd7c880d7d862e369fb4c94b3c3fbcb1c051d9e6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-09-19T21:52:29Z",
    "title_canon_sha256": "4afd18dd50d3f9e75df97dce4975c3221da77f50c5e6bc7d716bb00c1a4a45f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05939",
    "kind": "arxiv",
    "version": 1
  }
}