Pith Number

pith:2D5UCBVC

pith:2016:2D5UCBVCNAYIYCZSGFZI5GTNCB

not attested not anchored not stored refs pending

Nonlinear functions and difference sets on group actions

Bangteng Xu, Yun Fan

arxiv:1603.01016 v1 · 2016-03-03 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2D5UCBVCNAYIYCZSGFZI5GTNCB}

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	2026-05-18T01:19:39.869588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0fb4106a268308c0b3231728e9a6d1045e3dd3584b89d9a1108161b939aa42a

Aliases

arxiv: 1603.01016 · arxiv_version: 1603.01016v1 · doi: 10.48550/arxiv.1603.01016 · pith_short_12: 2D5UCBVCNAYI · pith_short_16: 2D5UCBVCNAYIYCZS · pith_short_8: 2D5UCBVC

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/2D5UCBVCNAYIYCZSGFZI5GTNCB \
  | 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: d0fb4106a268308c0b3231728e9a6d1045e3dd3584b89d9a1108161b939aa42a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda84902d2c751ed256149b3d3f2cf4069444de7445d9c84f3dc1ad948de0800",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-03T08:26:11Z",
    "title_canon_sha256": "bde9b84b4484436d8e1428ec3661561994ced7d3e36e86db8084586b7190862e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01016",
    "kind": "arxiv",
    "version": 1
  }
}