Pith Number

pith:XZSNHRJR

pith:2016:XZSNHRJR4L3B7OLBA4UHF3RZVZ

not attested not anchored not stored refs pending

Binomial Difference Ideals

Chun-Ming Yuan, Xiao-Shan Gao, Zhang Huang

arxiv:1603.03987 v1 · 2016-03-13 · cs.SC · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZSNHRJR4L3B7OLBA4UHF3RZVZ}

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	2026-05-18T01:19:09.816262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be64d3c531e2f61fb961072872ee39ae5014c623389a9d57b7dae862290ee745

Aliases

arxiv: 1603.03987 · arxiv_version: 1603.03987v1 · doi: 10.48550/arxiv.1603.03987 · pith_short_12: XZSNHRJR4L3B · pith_short_16: XZSNHRJR4L3B7OLB · pith_short_8: XZSNHRJR

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/XZSNHRJR4L3B7OLBA4UHF3RZVZ \
  | 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: be64d3c531e2f61fb961072872ee39ae5014c623389a9d57b7dae862290ee745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "715555136f65943d73d182b3d2632a4db956291b7bc03d02896cda8a9511cb91",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2016-03-13T03:49:01Z",
    "title_canon_sha256": "337dc84b5183e357787b232e86c3665e440e0b8bb2bbe91514dbe6277e1c84c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03987",
    "kind": "arxiv",
    "version": 1
  }
}