Pith Number

pith:6CY5OXXH

pith:2017:6CY5OXXH7QCK5ZZSIESKVU65BY

not attested not anchored not stored refs pending

On the extension of Whitney ultrajets

Armin Rainer, Gerhard Schindl

arxiv:1709.00932 v2 · 2017-09-04 · math.CA · 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{6CY5OXXH7QCK5ZZSIESKVU65BY}

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	2026-05-18T00:02:22.546840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0b1d75ee7fc04aee7324124aad3dd0e141f29920b4f7b01a97d353f84624243

Aliases

arxiv: 1709.00932 · arxiv_version: 1709.00932v2 · doi: 10.48550/arxiv.1709.00932 · pith_short_12: 6CY5OXXH7QCK · pith_short_16: 6CY5OXXH7QCK5ZZS · pith_short_8: 6CY5OXXH

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/6CY5OXXH7QCK5ZZSIESKVU65BY \
  | 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: f0b1d75ee7fc04aee7324124aad3dd0e141f29920b4f7b01a97d353f84624243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a04eaba4a25af414e4f4d851e5a9eb72e9ee8a5a77aba2c69db94a0f6cb9bafc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-04T13:03:42Z",
    "title_canon_sha256": "25efa3f86b8981a9a130ae0c021f7491da9c91896ff93cc3328e98390dba9233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00932",
    "kind": "arxiv",
    "version": 2
  }
}