Pith Number

pith:Z6Q3MZRA

pith:2013:Z6Q3MZRAMDFJIQSYAJPPXN7CKF

not attested not anchored not stored refs pending

Completeness for sparse potential scattering

Zhongwei Shen

arxiv:1309.5672 v3 · 2013-09-23 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6Q3MZRAMDFJIQSYAJPPXN7CKF}

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	2026-05-18T01:47:34.472468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa1b6662060ca944258025efbb7e251627307ad957f9e4bf74ee97f1afe8156

Aliases

arxiv: 1309.5672 · arxiv_version: 1309.5672v3 · doi: 10.48550/arxiv.1309.5672 · pith_short_12: Z6Q3MZRAMDFJ · pith_short_16: Z6Q3MZRAMDFJIQSY · pith_short_8: Z6Q3MZRA

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/Z6Q3MZRAMDFJIQSYAJPPXN7CKF \
  | 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: cfa1b6662060ca944258025efbb7e251627307ad957f9e4bf74ee97f1afe8156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0b00a8edc51d8e9571cba9d0deb0ffb76869d742565e6daa8e69a4fadc3418d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-09-23T00:38:10Z",
    "title_canon_sha256": "11610ba094d0581f01cf9691dff34eddcb0bb9fde37c6b2bb89c4884d1f03ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5672",
    "kind": "arxiv",
    "version": 3
  }
}