Pith Number

pith:HAUER7BF

pith:2018:HAUER7BF3CUTZHOV7XOUDZ2WZ6

not attested not anchored not stored refs pending

On strongly orthogonal martingales in UMD Banach spaces

Ivan Yaroslavtsev

arxiv:1812.08049 v1 · 2018-12-19 · math.PR · math.CV · math.FA

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

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	2026-05-17T23:57:55.029219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

382848fc25d8a93c9dd5fddd41e756cfb7351aee303c3f91fca6caaa6dc3b62e

Aliases

arxiv: 1812.08049 · arxiv_version: 1812.08049v1 · doi: 10.48550/arxiv.1812.08049 · pith_short_12: HAUER7BF3CUT · pith_short_16: HAUER7BF3CUTZHOV · pith_short_8: HAUER7BF

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/HAUER7BF3CUTZHOV7XOUDZ2WZ6 \
  | 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: 382848fc25d8a93c9dd5fddd41e756cfb7351aee303c3f91fca6caaa6dc3b62e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2cc0fc96d8ab9d38b6175897910272d6c327b487efb5acd5e85e13cee125a6",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-19T16:05:43Z",
    "title_canon_sha256": "55cc335a2b0c53d0ebd33bb25babdff918ce33de2f245ecfff7d48b558cc4c07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08049",
    "kind": "arxiv",
    "version": 1
  }
}