Pith Number

pith:6ECH6GEC

pith:2010:6ECH6GECGVYCEGUGED54FV37Z6

not attested not anchored not stored refs pending

Donald Burkholder's work in martingales and analysis

Burgess Davis, Rodrigo Ba\~nuelos

arxiv:1012.4849 v1 · 2010-12-22 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ECH6GECGVYCEGUGED54FV37Z6}

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	2026-05-18T04:32:45.141444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1047f18823570221a8620fbc2d77fcfb7f04e108c87e309f3a29ebbe981a220

Aliases

arxiv: 1012.4849 · arxiv_version: 1012.4849v1 · doi: 10.48550/arxiv.1012.4849 · pith_short_12: 6ECH6GECGVYC · pith_short_16: 6ECH6GECGVYCEGUG · pith_short_8: 6ECH6GEC

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/6ECH6GECGVYCEGUGED54FV37Z6 \
  | 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: f1047f18823570221a8620fbc2d77fcfb7f04e108c87e309f3a29ebbe981a220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a879f17825a6b0202f9a1c736b28b2d45c46dae05c14f47e7747768deffc936",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-22T00:51:26Z",
    "title_canon_sha256": "a70eadf67579270b674b536f3c30fdbb7f8f138b036e487303e5b5d6023b7475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4849",
    "kind": "arxiv",
    "version": 1
  }
}