Pith Number

pith:ZTK5XMRB

pith:2016:ZTK5XMRBQWANBQN4F47OOEKYTM

not attested not anchored not stored refs pending

Inflexible $CR$ submanifolds

C. Denson Hill, Judith Brinkschulte

arxiv:1611.05427 v1 · 2016-11-16 · 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{ZTK5XMRBQWANBQN4F47OOEKYTM}

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	2026-05-18T00:10:04.397428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd5dbb2218580d0c1bc2f3ee711589b3975dfc12bbdfd088b7e7bee83607620

Aliases

arxiv: 1611.05427 · arxiv_version: 1611.05427v1 · doi: 10.48550/arxiv.1611.05427 · pith_short_12: ZTK5XMRBQWAN · pith_short_16: ZTK5XMRBQWANBQN4 · pith_short_8: ZTK5XMRB

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/ZTK5XMRBQWANBQN4F47OOEKYTM \
  | 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: ccd5dbb2218580d0c1bc2f3ee711589b3975dfc12bbdfd088b7e7bee83607620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595a40f0a49f5e71f344c7839daf6026d8a044b79fa56c97ad7601ffe9e3e235",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-11-16T20:16:37Z",
    "title_canon_sha256": "ba56e6462a6556c212c05e25e7136f99d9ff69983443412e7993e253809ba8d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05427",
    "kind": "arxiv",
    "version": 1
  }
}