Pith Number

pith:SW3ESRJK

pith:2015:SW3ESRJK57MJWWDX7XN5AGQWPD

not attested not anchored not stored refs pending

Some contributions to the study of stochastic processes of the classes $\Sigma(H)$ and $(\Sigma)$

Fulgence Eyi Obiang, G\'erald Trutnau, Octave Moutsinga, Youssef Ouknine

arxiv:1508.05775 v2 · 2015-08-24 · 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{SW3ESRJK57MJWWDX7XN5AGQWPD}

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	2026-05-18T00:51:07.533828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95b649452aefd89b5877fddbd01a1678e9d63ca7e312219cd4abce2c0e9135c5

Aliases

arxiv: 1508.05775 · arxiv_version: 1508.05775v2 · doi: 10.48550/arxiv.1508.05775 · pith_short_12: SW3ESRJK57MJ · pith_short_16: SW3ESRJK57MJWWDX · pith_short_8: SW3ESRJK

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/SW3ESRJK57MJWWDX7XN5AGQWPD \
  | 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: 95b649452aefd89b5877fddbd01a1678e9d63ca7e312219cd4abce2c0e9135c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ace8db06b657d1d657b4e033ac6f87548da672193e6166b320ceebd122ca55d0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-24T12:20:59Z",
    "title_canon_sha256": "60b2f66eced24dd7c3e49fd87f7847a9a917454a03ad9bd773fbaac429c4584d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05775",
    "kind": "arxiv",
    "version": 2
  }
}