Pith Number

pith:FFRYUAI4

pith:2019:FFRYUAI4AGG2VP6BNZMB5K2YFP

not attested not anchored not stored refs pending

Neumann Data Mass on Perturbed Triangles

Hans Christianson, Jin Xi

arxiv:1908.02863 v1 · 2019-08-07 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFRYUAI4AGG2VP6BNZMB5K2YFP}

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	2026-07-04T23:52:24.216896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29638a011c018daabfc16e581eab582be97da80edd016698cc43d51c5ed64b96

Aliases

arxiv: 1908.02863 · arxiv_version: 1908.02863v1 · doi: 10.48550/arxiv.1908.02863 · pith_short_12: FFRYUAI4AGG2 · pith_short_16: FFRYUAI4AGG2VP6B · pith_short_8: FFRYUAI4

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/FFRYUAI4AGG2VP6BNZMB5K2YFP \
  | 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: 29638a011c018daabfc16e581eab582be97da80edd016698cc43d51c5ed64b96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffef97554d041c83fe1e2cc733ba37f322452409c9571b0c344bcb3297bfacda",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-07T22:45:40Z",
    "title_canon_sha256": "a2050e8295517024e1b1d12b0b16e89e15eaee3433b7cffce0d6f6ac466a3422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02863",
    "kind": "arxiv",
    "version": 1
  }
}