Pith Number

pith:OQWLL2HV

pith:2015:OQWLL2HV3ZUI3RX3RYUNGLEFMH

not attested not anchored not stored refs pending

First-order aggregation models with alignment

Changhui Tan, Razvan C. Fetecau, Weiran Sun

arxiv:1505.07316 v1 · 2015-05-27 · 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{OQWLL2HV3ZUI3RX3RYUNGLEFMH}

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	2026-05-18T01:12:08.496416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

742cb5e8f5de688dc6fb8e28d32c8561cdf07e182d2b6dc5d349d881bd691e65

Aliases

arxiv: 1505.07316 · arxiv_version: 1505.07316v1 · doi: 10.48550/arxiv.1505.07316 · pith_short_12: OQWLL2HV3ZUI · pith_short_16: OQWLL2HV3ZUI3RX3 · pith_short_8: OQWLL2HV

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/OQWLL2HV3ZUI3RX3RYUNGLEFMH \
  | 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: 742cb5e8f5de688dc6fb8e28d32c8561cdf07e182d2b6dc5d349d881bd691e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "507a6421f7ee4e62b540b8df12bcd501eae1e5c88b61b3d2c558ba5ef03a54e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-27T13:52:57Z",
    "title_canon_sha256": "d95cc8fb41f702a19ef56d6ccf39909cd6b330d05295949df6eb3d3fab873ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07316",
    "kind": "arxiv",
    "version": 1
  }
}