Pith Number

pith:5ONYUIZP

pith:2011:5ONYUIZPNJYXRIGOI2NUNW37JK

not attested not anchored not stored refs pending

Stochastic equations on projective systems of groups

Steven N. Evans, Tatyana Gordeeva

arxiv:1106.2837 v2 · 2011-06-14 · math.PR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ONYUIZPNJYXRIGOI2NUNW37JK}

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	2026-05-18T04:00:28.396097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb9b8a232f6a7178a0ce469b46db7f4a88d88cdc2d9d42be114cfac0ba0ed0f4

Aliases

arxiv: 1106.2837 · arxiv_version: 1106.2837v2 · doi: 10.48550/arxiv.1106.2837 · pith_short_12: 5ONYUIZPNJYX · pith_short_16: 5ONYUIZPNJYXRIGO · pith_short_8: 5ONYUIZP

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/5ONYUIZPNJYXRIGOI2NUNW37JK \
  | 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: eb9b8a232f6a7178a0ce469b46db7f4a88d88cdc2d9d42be114cfac0ba0ed0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a6a4692e5b8c8856ca010558f1277f9ef7dd8c5685028dc53b53de59aaba701",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-14T22:37:25Z",
    "title_canon_sha256": "ea878a1b28c150075b52106e6c9c4e0566fd005b3d09fc8ba20d0833cbf40e09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2837",
    "kind": "arxiv",
    "version": 2
  }
}