Pith Number

pith:OGQAF3OO

pith:2016:OGQAF3OOS6HDY2T3LT5TMI3J2C

not attested not anchored not stored refs pending

Optimization and Analysis of Probabilistic Caching in $N$-tier Heterogeneous Networks

Chenchen Yang, Kuikui Li, Meixia Tao, Zhiyong Chen

arxiv:1612.04030 v2 · 2016-12-13 · 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{OGQAF3OOS6HDY2T3LT5TMI3J2C}

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	2026-05-18T00:29:31.168271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71a002edce978e3c6a7b5cfb362369d0863d55c907eb5785ca6b7e38f0f6c369

Aliases

arxiv: 1612.04030 · arxiv_version: 1612.04030v2 · doi: 10.48550/arxiv.1612.04030 · pith_short_12: OGQAF3OOS6HD · pith_short_16: OGQAF3OOS6HDY2T3 · pith_short_8: OGQAF3OO

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/OGQAF3OOS6HDY2T3LT5TMI3J2C \
  | 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: 71a002edce978e3c6a7b5cfb362369d0863d55c907eb5785ca6b7e38f0f6c369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb02305f1e3e2b0d3cc923c993cb83ff8086b989bd2f80ddc073d8714601278d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-13T05:15:04Z",
    "title_canon_sha256": "87ec42bae61b43d5f46d0f536b5c3cc990d8407def72beee4b86655b52d9e771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04030",
    "kind": "arxiv",
    "version": 2
  }
}