Pith Number

pith:6Y6PURVS

pith:2010:6Y6PURVSZLEZRUICN4YP6T3EIP

not attested not anchored not stored refs pending

Spectral triples and the geometry of fractals

Cristina Ivan, Elmar Schrohe, Erik Christensen

arxiv:1002.3081 v2 · 2010-02-16 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Y6PURVSZLEZRUICN4YP6T3EIP}

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	2026-05-18T04:12:43.087051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f63cfa46b2cac998d1026f30ff4f6443f59ff57efe31978bcb8ad4c6e3e3ad9b

Aliases

arxiv: 1002.3081 · arxiv_version: 1002.3081v2 · doi: 10.48550/arxiv.1002.3081 · pith_short_12: 6Y6PURVSZLEZ · pith_short_16: 6Y6PURVSZLEZRUIC · pith_short_8: 6Y6PURVS

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/6Y6PURVSZLEZRUICN4YP6T3EIP \
  | 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: f63cfa46b2cac998d1026f30ff4f6443f59ff57efe31978bcb8ad4c6e3e3ad9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e832c068b58a6c548e8425145399ff2077f3866ebf4a11f69ed22fcfa7520d3",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-02-16T13:20:55Z",
    "title_canon_sha256": "5e0bc38b3bb72dd8dbbc1b371e02cca67f62c50e10666655d9d38f75ecc203f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3081",
    "kind": "arxiv",
    "version": 2
  }
}