Pith Number

pith:57X4KRLX

pith:2014:57X4KRLX2WVKPPB5MU2XRSEXJE

not attested not anchored not stored refs pending

Projections, Pseudo-Stopping Times and the Immersion Property

Anna Aksamit, Libo Li

arxiv:1409.0298 v3 · 2014-09-01 · 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{57X4KRLX2WVKPPB5MU2XRSEXJE}

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	2026-05-18T00:56:26.335740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efefc54577d5aaa7bc3d653578c897490433c0469a87e41edafe854bdc20b7e8

Aliases

arxiv: 1409.0298 · arxiv_version: 1409.0298v3 · doi: 10.48550/arxiv.1409.0298 · pith_short_12: 57X4KRLX2WVK · pith_short_16: 57X4KRLX2WVKPPB5 · pith_short_8: 57X4KRLX

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/57X4KRLX2WVKPPB5MU2XRSEXJE \
  | 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: efefc54577d5aaa7bc3d653578c897490433c0469a87e41edafe854bdc20b7e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15e9bd3f1dc24d395ea130efae41689c0dfb8d91e4743bd59e82991a3a2f20c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-01T06:20:16Z",
    "title_canon_sha256": "9428eda5d39be9e68732d93a01f131528f5b1fe1e00212f3e13168ed7167595a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0298",
    "kind": "arxiv",
    "version": 3
  }
}