Pith Number

pith:VDG72BFH

pith:2011:VDG72BFHEMAGLYYMYMZIQP7RQK

not attested not anchored not stored refs pending

Network Capacity Region and Minimum Energy Function for a Delay-Tolerant Mobile Ad Hoc Network

Michael J. Neely, Rahul Urgaonkar

arxiv:1101.1712 v1 · 2011-01-10 · cs.NI · 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{VDG72BFHEMAGLYYMYMZIQP7RQK}

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	2026-05-18T04:31:51.850732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8cdfd04a7230065e30cc332883ff1828e20b97166b0c0845dba891b0ca20ad5

Aliases

arxiv: 1101.1712 · arxiv_version: 1101.1712v1 · doi: 10.48550/arxiv.1101.1712 · pith_short_12: VDG72BFHEMAG · pith_short_16: VDG72BFHEMAGLYYM · pith_short_8: VDG72BFH

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/VDG72BFHEMAGLYYMYMZIQP7RQK \
  | 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: a8cdfd04a7230065e30cc332883ff1828e20b97166b0c0845dba891b0ca20ad5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e493fc873d12c5f2a53de6b431fb675b4ead1452e8abee8376db5825b1ade3a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2011-01-10T06:04:38Z",
    "title_canon_sha256": "1e4d078ac7c298cd320fb9fbf678fc6d4a8d1e7e57c187b41010a01ff2e86562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1712",
    "kind": "arxiv",
    "version": 1
  }
}