Pith Number

pith:HEQIEFJX

pith:2015:HEQIEFJXLYB4RLZ57PGITPOLS7

not attested not anchored not stored refs pending

Total Variation and Separation Cutoffs are not equivalent and neither one implies the other

Hubert Lacoin, Jonathan Hermon, Yuval Peres

arxiv:1508.03913 v3 · 2015-08-17 · 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{HEQIEFJXLYB4RLZ57PGITPOLS7}

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	2026-05-18T00:25:06.039517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39208215375e03c8af3dfbcc89bdcb97fa63587a4a89ee76f26e96045327a841

Aliases

arxiv: 1508.03913 · arxiv_version: 1508.03913v3 · doi: 10.48550/arxiv.1508.03913 · pith_short_12: HEQIEFJXLYB4 · pith_short_16: HEQIEFJXLYB4RLZ5 · pith_short_8: HEQIEFJX

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/HEQIEFJXLYB4RLZ57PGITPOLS7 \
  | 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: 39208215375e03c8af3dfbcc89bdcb97fa63587a4a89ee76f26e96045327a841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a74fcd43b89981c75a310f2029580ec0321641a2d6ad1abe8aeb542ed49758c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-17T02:36:13Z",
    "title_canon_sha256": "9b2aa99c5b13a70a51be538e55fdfe8118a7a65d5c55ccd258838a5a03d6e24c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03913",
    "kind": "arxiv",
    "version": 3
  }
}