Pith Number

pith:VSFAZR6H

pith:2012:VSFAZR6HH33WFI6RPWLVDUYU2X

not attested not anchored not stored refs pending

A Shared-Constraint Approach to Multi-leader Multi-follower Games

Ankur A. Kulkarni, Uday V. Shanbhag

arxiv:1206.2968 v3 · 2012-06-13 · math.OC · 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{VSFAZR6HH33WFI6RPWLVDUYU2X}

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	2026-05-18T02:44:23.682437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8a0cc7c73ef762a3d17d9751d314d5c00df6bc7a15d0a63171d71e4481c1b4

Aliases

arxiv: 1206.2968 · arxiv_version: 1206.2968v3 · doi: 10.48550/arxiv.1206.2968 · pith_short_12: VSFAZR6HH33W · pith_short_16: VSFAZR6HH33WFI6R · pith_short_8: VSFAZR6H

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/VSFAZR6HH33WFI6RPWLVDUYU2X \
  | 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: ac8a0cc7c73ef762a3d17d9751d314d5c00df6bc7a15d0a63171d71e4481c1b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d85fb85a7899fd43d648572720e29d6f2a03ae982392fe58a2e0157a0e1b9a",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-06-13T23:26:54Z",
    "title_canon_sha256": "05728748ffad4615457f0f7de980c31699216ea1a190cfa1e8dbe78e1cf69e45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2968",
    "kind": "arxiv",
    "version": 3
  }
}