Pith Number

pith:JEVWNMV7

pith:2015:JEVWNMV75TXMDGTHNIDLNCOEFI

not attested not anchored not stored refs pending

On uncrossing games for skew-supermodular functions

Hiroshi Hirai

arxiv:1509.08575 v2 · 2015-09-29 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEVWNMV75TXMDGTHNIDLNCOEFI}

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	2026-05-18T01:22:47.993060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

492b66b2bfeceec19a676a06b689c42a2be5843c0b8ae989ccaf3a0212004456

Aliases

arxiv: 1509.08575 · arxiv_version: 1509.08575v2 · doi: 10.48550/arxiv.1509.08575 · pith_short_12: JEVWNMV75TXM · pith_short_16: JEVWNMV75TXMDGTH · pith_short_8: JEVWNMV7

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/JEVWNMV75TXMDGTHNIDLNCOEFI \
  | 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: 492b66b2bfeceec19a676a06b689c42a2be5843c0b8ae989ccaf3a0212004456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa7fd2012ec0c3db76cd66627b63915139ab10dbd7ced1471e73788348d49a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-29T03:03:26Z",
    "title_canon_sha256": "a5058f6795084e0ea9d47b25b71c0ce48cadb27984d788edfcb01d0cb9e0d89f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08575",
    "kind": "arxiv",
    "version": 2
  }
}