Pith Number

pith:SPHXLS63

pith:2010:SPHXLS63S4XP7LCKG6OIFFVN7T

not attested not anchored not stored refs pending

On some problems of James Miller

B. Bhowmik, K-J. Wirths, S. Ponnusamy

arxiv:1008.5270 v1 · 2010-08-31 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPHXLS63S4XP7LCKG6OIFFVN7T}

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	2026-05-18T04:41:36.261296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93cf75cbdb972effac4a379c8296adfcd71c62013b653f800d41e22042751663

Aliases

arxiv: 1008.5270 · arxiv_version: 1008.5270v1 · doi: 10.48550/arxiv.1008.5270 · pith_short_12: SPHXLS63S4XP · pith_short_16: SPHXLS63S4XP7LCK · pith_short_8: SPHXLS63

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/SPHXLS63S4XP7LCKG6OIFFVN7T \
  | 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: 93cf75cbdb972effac4a379c8296adfcd71c62013b653f800d41e22042751663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58692dce444d29b17ffa197499079fa49188b0bbe53cc26bb5d5df4ada949927",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-08-31T09:56:37Z",
    "title_canon_sha256": "487def129d53597c7b69aca2188aaaa4fae2183c1bb79393c8e67d53b039a39e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5270",
    "kind": "arxiv",
    "version": 1
  }
}