Pith Number

pith:AICGJZIX

pith:2015:AICGJZIXXDFJ4SDBZH6EGQJFDV

not attested not anchored not stored refs pending

Densely defined non-closable curl on carpet-like metric measure spaces

Alexander Teplyaev, Michael Hinz

arxiv:1505.02819 v5 · 2015-05-11 · math.FA · math-ph · math.CA · math.DG · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AICGJZIXXDFJ4SDBZH6EGQJFDV}

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	2026-05-18T00:58:35.629568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

020464e517b8ca9e4861c9fc4341251d69aab04c122e299e0743d88dcd53f45d

Aliases

arxiv: 1505.02819 · arxiv_version: 1505.02819v5 · doi: 10.48550/arxiv.1505.02819 · pith_short_12: AICGJZIXXDFJ · pith_short_16: AICGJZIXXDFJ4SDB · pith_short_8: AICGJZIX

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/AICGJZIXXDFJ4SDBZH6EGQJFDV \
  | 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: 020464e517b8ca9e4861c9fc4341251d69aab04c122e299e0743d88dcd53f45d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1463ba1e2aa541a84b98903ac84a346e583b896f1011caf994be4ecb550bdf9",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.DG",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-11T22:07:04Z",
    "title_canon_sha256": "8bddae0d64a68b25cf92c70828c105e1654adb29e70c602e81fda18f5ffc922c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02819",
    "kind": "arxiv",
    "version": 5
  }
}