Pith Number

pith:PTALU573

pith:2021:PTALU573POBF2AYJJDSB73UKGI

not attested not anchored not stored refs pending

Sleep, Sense or Transmit: Energy-Age Tradeoff for Status Update with Two-Thresholds Optimal Policy

Jianhang Zhu, Jie Gong, Xiang Chen, Xiao Ma

arxiv:2108.06007 v1 · 2021-08-13 · 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{PTALU573POBF2AYJJDSB73UKGI}

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	2026-07-05T03:05:36.467694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc0ba77fb7b825d030948e41fee8a320ef397afe4e5f41f756daa9896624906

Aliases

arxiv: 2108.06007 · arxiv_version: 2108.06007v1 · doi: 10.48550/arxiv.2108.06007 · pith_short_12: PTALU573POBF · pith_short_16: PTALU573POBF2AYJ · pith_short_8: PTALU573

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/PTALU573POBF2AYJJDSB73UKGI \
  | 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: 7cc0ba77fb7b825d030948e41fee8a320ef397afe4e5f41f756daa9896624906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4dfb3f00eb657c1985c6764021ba24aed6e50ab62b34df3fd50af740e94103a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-08-13T00:55:35Z",
    "title_canon_sha256": "6bbbc8f3a10dc5dd04552e4fe9fc4e678d5a1e8d6c161306fcbd4dffc44a695b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.06007",
    "kind": "arxiv",
    "version": 1
  }
}