Pith Number

pith:7BV4AHWD

pith:2018:7BV4AHWDOBNJJBDJNTT6HWMSPX

not attested not anchored not stored refs pending

Strategy-Proof Spectrum Allocation among Multiple Operators

Abhay Karandikar, Ankur A. Kulkarni, Indu Yadav

arxiv:1812.00192 v1 · 2018-12-01 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BV4AHWDOBNJJBDJNTT6HWMSPX}

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	2026-05-17T23:59:21.850162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f86bc01ec3705a9484696ce7e3d9927dfa0b84bcaa6e66b8a20094f7eb2b0131

Aliases

arxiv: 1812.00192 · arxiv_version: 1812.00192v1 · doi: 10.48550/arxiv.1812.00192 · pith_short_12: 7BV4AHWDOBNJ · pith_short_16: 7BV4AHWDOBNJJBDJ · pith_short_8: 7BV4AHWD

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/7BV4AHWDOBNJJBDJNTT6HWMSPX \
  | 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: f86bc01ec3705a9484696ce7e3d9927dfa0b84bcaa6e66b8a20094f7eb2b0131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "538fb511b1b3b0d6cfc57d53b6e6596d20c041ba95e0dbce413093014cc9d13d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2018-12-01T11:55:39Z",
    "title_canon_sha256": "4062864e6557f3d1641f46373e58d006b80bce1dae0423bcd7baa59f6fcf07d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00192",
    "kind": "arxiv",
    "version": 1
  }
}