Pith Number

pith:2AJONVPV

pith:2010:2AJONVPVGQB7XI7LM2WR2VLOTH

not attested not anchored not stored refs pending

Positive periodic solutions of singular systems

Haiyan Wang

arxiv:1007.3302 v1 · 2010-07-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AJONVPVGQB7XI7LM2WR2VLOTH}

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	2026-05-18T04:40:54.388608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d012e6d5f53403fba3eb66ad1d556e99dddc6be3a1c9bca368aac44d85552c7e

Aliases

arxiv: 1007.3302 · arxiv_version: 1007.3302v1 · doi: 10.48550/arxiv.1007.3302 · pith_short_12: 2AJONVPVGQB7 · pith_short_16: 2AJONVPVGQB7XI7L · pith_short_8: 2AJONVPV

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/2AJONVPVGQB7XI7LM2WR2VLOTH \
  | 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: d012e6d5f53403fba3eb66ad1d556e99dddc6be3a1c9bca368aac44d85552c7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afcd189082f5ce668506b0b4880e234e9f57268a4fa7bf2f7163bba481726dcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-07-19T22:43:32Z",
    "title_canon_sha256": "76e4481e30222e1e7cc510e8f40bc8a994febaef3c00a6cb19438736549f9eaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3302",
    "kind": "arxiv",
    "version": 1
  }
}