Pith Number

pith:BTXJBWU6

pith:2019:BTXJBWU6IEGYFRJ7GTYB4PCY5I

not attested not anchored not stored refs pending

$C-$Robin Functions and Applications

Norm Levenberg, Sione Ma`u

arxiv:1907.10776 v1 · 2019-07-25 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTXJBWU6IEGYFRJ7GTYB4PCY5I}

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	2026-05-17T23:39:34.520785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cee90da9e410d82c53f34f01e3c58ea240baa1e004f2bd48bad9423f45d9447

Aliases

arxiv: 1907.10776 · arxiv_version: 1907.10776v1 · doi: 10.48550/arxiv.1907.10776 · pith_short_12: BTXJBWU6IEGY · pith_short_16: BTXJBWU6IEGYFRJ7 · pith_short_8: BTXJBWU6

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/BTXJBWU6IEGYFRJ7GTYB4PCY5I \
  | 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: 0cee90da9e410d82c53f34f01e3c58ea240baa1e004f2bd48bad9423f45d9447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c5dc51eb5be76600887d7747625d78f1675c8d8d3eb2f515779cfb7cd436745",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-07-25T00:34:25Z",
    "title_canon_sha256": "432ad02a71d5978f56d96f6b783d3cbc2efde1dd974d863eebc56b5a1bacc89c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10776",
    "kind": "arxiv",
    "version": 1
  }
}