Pith Number

pith:YSBDQ3WC

pith:2015:YSBDQ3WC7PE7NIJLWGZYXUHXIH

not attested not anchored not stored refs pending

Boundary behavior of invariant functions on planar domains

Lyubomir Andreev, Maria Trybula, Nikolai Nikolov

arxiv:1511.03117 v1 · 2015-11-10 · 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{YSBDQ3WC7PE7NIJLWGZYXUHXIH}

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	2026-05-18T01:08:43.194304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c482386ec2fbc9f6a12bb1b38bd0f741d7c878e4975e48c0813bd3f38dd4e3a1

Aliases

arxiv: 1511.03117 · arxiv_version: 1511.03117v1 · doi: 10.48550/arxiv.1511.03117 · pith_short_12: YSBDQ3WC7PE7 · pith_short_16: YSBDQ3WC7PE7NIJL · pith_short_8: YSBDQ3WC

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/YSBDQ3WC7PE7NIJLWGZYXUHXIH \
  | 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: c482386ec2fbc9f6a12bb1b38bd0f741d7c878e4975e48c0813bd3f38dd4e3a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ecd68047c00f7ef80835adfa0e8bdb4caa5aa909fe7ed20b132e5c65edcbfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-11-10T14:00:36Z",
    "title_canon_sha256": "bffc94019c3e38e8bcc81d36bd28eb010bfbd17ab8ac26db7dfc15ce550b1003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03117",
    "kind": "arxiv",
    "version": 1
  }
}