Pith Number

pith:AMB5FN3B

pith:2008:AMB5FN3BQVU2YVL7P5YCSTJ2HU

not attested not anchored not stored refs pending

On Optimal Linear Redistribution of VCG Payments in Assignment of Heterogeneous Objects

Sujit Gujar, Yadati Narahari

arxiv:0812.4792 v1 · 2008-12-28 · 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{AMB5FN3BQVU2YVL7P5YCSTJ2HU}

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	2026-07-04T15:35:18.050783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0303d2b7618569ac557f7f70294d3a3d3c84b183d4f885b98fe9bfbb818ca496

Aliases

arxiv: 0812.4792 · arxiv_version: 0812.4792v1 · doi: 10.48550/arxiv.0812.4792 · pith_short_12: AMB5FN3BQVU2 · pith_short_16: AMB5FN3BQVU2YVL7 · pith_short_8: AMB5FN3B

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/AMB5FN3BQVU2YVL7P5YCSTJ2HU \
  | 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: 0303d2b7618569ac557f7f70294d3a3d3c84b183d4f885b98fe9bfbb818ca496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3914ae7232615ea71152bf781b77150d97e3e22f975ad5684c0ccfcea6e7c631",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2008-12-28T05:08:08Z",
    "title_canon_sha256": "1b3f673cb3d46ef04356a7b34c062e9a91c94eb85fd3f1f62b36981b0e750f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4792",
    "kind": "arxiv",
    "version": 1
  }
}