Pith Number

pith:IGN5MXFC

pith:2016:IGN5MXFCTWLSLSL6WIFGGDBRWS

not attested not anchored not stored refs pending

On the index conjecture in zero-sum theory: singular case

Fan Ge

arxiv:1606.08944 v2 · 2016-06-29 · math.NT · 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{IGN5MXFCTWLSLSL6WIFGGDBRWS}

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	2026-05-18T00:35:14.045199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

419bd65ca29d9725c97eb20a630c31b489124fea240ca0d33aafec7998dc7f7d

Aliases

arxiv: 1606.08944 · arxiv_version: 1606.08944v2 · doi: 10.48550/arxiv.1606.08944 · pith_short_12: IGN5MXFCTWLS · pith_short_16: IGN5MXFCTWLSLSL6 · pith_short_8: IGN5MXFC

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/IGN5MXFCTWLSLSL6WIFGGDBRWS \
  | 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: 419bd65ca29d9725c97eb20a630c31b489124fea240ca0d33aafec7998dc7f7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bd4c269ac6b0c017167a22899376732a796db7e3d0b2c753a76cf71e50b8dcc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-29T03:33:08Z",
    "title_canon_sha256": "e3aec6fcc502b02c22a0857f63b0e0e9c568c4fac741ee18db00d8a17368ad2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08944",
    "kind": "arxiv",
    "version": 2
  }
}