Pith Number

pith:XYPRYPDL

pith:2016:XYPRYPDLR7GATJFYGHA2HE3UQ3

not attested not anchored not stored refs pending

The BBM formula revisited

Haim Brezis, Hoai-Minh Nguyen

arxiv:1606.05518 v1 · 2016-06-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYPRYPDLR7GATJFYGHA2HE3UQ3}

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	2026-05-18T01:12:19.465488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1f1c3c6b8fcc09a4b831c1a3937486db37e09901d997c75d5f13194f3e12bc

Aliases

arxiv: 1606.05518 · arxiv_version: 1606.05518v1 · doi: 10.48550/arxiv.1606.05518 · pith_short_12: XYPRYPDLR7GA · pith_short_16: XYPRYPDLR7GATJFY · pith_short_8: XYPRYPDL

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/XYPRYPDLR7GATJFYGHA2HE3UQ3 \
  | 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: be1f1c3c6b8fcc09a4b831c1a3937486db37e09901d997c75d5f13194f3e12bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17505a03da69136eff9b399312a06b32a59a3cc0487735b55dbd8619aa19e477",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-17T13:21:46Z",
    "title_canon_sha256": "04d6fc1d686b670eb5d8625ee188eb70d7099ab67280b7e9c2e52915ca3f6877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05518",
    "kind": "arxiv",
    "version": 1
  }
}