Pith Number

pith:3FKS6EOA

pith:2017:3FKS6EOASXQBPH3D6EE5FSDBG5

not attested not anchored not stored refs pending

Finding Submodularity Hidden in Symmetric Difference

Junpei Nakashima, Masafumi Yamashita, Shuji Kijima, Yukiko Yamauchi

arxiv:1712.08721 v3 · 2017-12-23 · cs.DM · 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{3FKS6EOASXQBPH3D6EE5FSDBG5}

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	2026-05-17T23:54:34.690221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9552f11c095e0179f63f109d2c861375d6dbf2c0931a0e8de800c1793ef2468

Aliases

arxiv: 1712.08721 · arxiv_version: 1712.08721v3 · doi: 10.48550/arxiv.1712.08721 · pith_short_12: 3FKS6EOASXQB · pith_short_16: 3FKS6EOASXQBPH3D · pith_short_8: 3FKS6EOA

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/3FKS6EOASXQBPH3D6EE5FSDBG5 \
  | 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: d9552f11c095e0179f63f109d2c861375d6dbf2c0931a0e8de800c1793ef2468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c546f3a461ffac5f532cf6dab405e9e138762290755301b721de9b5fdf3909f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-12-23T06:25:43Z",
    "title_canon_sha256": "b4d5f138655fa1f87159c901564c5d461159ad654a21910f790b76b071780525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08721",
    "kind": "arxiv",
    "version": 3
  }
}