Pith Number

pith:7TCF67AE

pith:2016:7TCF67AE4ZEK3UIXEGQJVRY3CG

not attested not anchored not stored refs pending

Brownian Manifolds, Negative Type and Geo-temporal Covariances

Aleksander Mijatovi\'c, N. H. Bingham, Tasmin L. Symons

arxiv:1612.06431 v2 · 2016-12-19 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TCF67AE4ZEK3UIXEGQJVRY3CG}

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	2026-05-18T00:53:41.870652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcc45f7c04e648add11721a09ac71b11aec9058dad3c3aec8ce191b12f5fd242

Aliases

arxiv: 1612.06431 · arxiv_version: 1612.06431v2 · doi: 10.48550/arxiv.1612.06431 · pith_short_12: 7TCF67AE4ZEK · pith_short_16: 7TCF67AE4ZEK3UIX · pith_short_8: 7TCF67AE

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/7TCF67AE4ZEK3UIXEGQJVRY3CG \
  | 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: fcc45f7c04e648add11721a09ac71b11aec9058dad3c3aec8ce191b12f5fd242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95913fa122100c34098b1b147414d1662568974a603162aa2c9319642ecb856",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-19T21:52:15Z",
    "title_canon_sha256": "967104152cea4db521984e063f7f7bc8474231c6e4eadf80cee5c32fd350ef35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06431",
    "kind": "arxiv",
    "version": 2
  }
}