Pith Number

pith:QUMFQFCD

pith:2012:QUMFQFCD7VAFT3DDW77EFSHTSP

not attested not anchored not stored refs pending

Knot points of typical continuous functions

David Preiss, Shingo Saito

arxiv:1204.2887 v1 · 2012-04-13 · math.CA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUMFQFCD7VAFT3DDW77EFSHTSP}

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	2026-05-18T03:01:47.146144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8518581443fd4059ec63b7fe42c8f393c7b02bfa876de6dd6be9b764c7b9753c

Aliases

arxiv: 1204.2887 · arxiv_version: 1204.2887v1 · doi: 10.48550/arxiv.1204.2887 · pith_short_12: QUMFQFCD7VAF · pith_short_16: QUMFQFCD7VAFT3DD · pith_short_8: QUMFQFCD

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/QUMFQFCD7VAFT3DDW77EFSHTSP \
  | 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: 8518581443fd4059ec63b7fe42c8f393c7b02bfa876de6dd6be9b764c7b9753c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3195e9664c7ab13b654c8176fb1923fdf3222e8506ad7028ed964095d85eb856",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-13T06:23:41Z",
    "title_canon_sha256": "f8809618a83bb7bd57f75cb3ca7dd26af245ddef02a9100f03d76a6036511a32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2887",
    "kind": "arxiv",
    "version": 1
  }
}