Pith Number

pith:I2H7VMYU

pith:2011:I2H7VMYUZ3TYCE7PEXWWXRADFB

not attested not anchored not stored refs pending

Nash Equilibria via Duality and Homological Selection

Arnab Basu, Mahan Mj, Samik Basu

arxiv:1111.0754 v3 · 2011-11-03 · math.AT · cs.GT · math.GT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2H7VMYUZ3TYCE7PEXWWXRADFB}

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	2026-05-18T00:53:51.753380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

468ffab314cee78113ef25ed6bc403286767df7b4128173957b83b7d2728d52c

Aliases

arxiv: 1111.0754 · arxiv_version: 1111.0754v3 · doi: 10.48550/arxiv.1111.0754 · pith_short_12: I2H7VMYUZ3TY · pith_short_16: I2H7VMYUZ3TYCE7P · pith_short_8: I2H7VMYU

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/I2H7VMYUZ3TYCE7PEXWWXRADFB \
  | 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: 468ffab314cee78113ef25ed6bc403286767df7b4128173957b83b7d2728d52c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5bdef5e0082271cdaf26a1a333732131dffb2228c2293a4b4e915e8ea3a0e37",
    "cross_cats_sorted": [
      "cs.GT",
      "math.GT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-03T08:46:42Z",
    "title_canon_sha256": "f23806768e973aae63089be74fcaa5988acaac1365ff3fe2326b8647b2c45924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0754",
    "kind": "arxiv",
    "version": 3
  }
}