Pith Number

pith:L3PRXN7G

pith:2017:L3PRXN7GZJCVJQYB7N56LLEZWB

not attested not anchored not stored refs pending

A characterization of codimension one collapse under bounded curvature and diameter

Saskia Roos

arxiv:1701.06515 v3 · 2017-01-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3PRXN7GZJCVJQYB7N56LLEZWB}

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	2026-05-18T00:40:07.417423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5edf1bb7e6ca4554c301fb7be5ac99b0604df3c550f13a2e656b8ea9ce216221

Aliases

arxiv: 1701.06515 · arxiv_version: 1701.06515v3 · doi: 10.48550/arxiv.1701.06515 · pith_short_12: L3PRXN7GZJCV · pith_short_16: L3PRXN7GZJCVJQYB · pith_short_8: L3PRXN7G

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/L3PRXN7GZJCVJQYB7N56LLEZWB \
  | 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: 5edf1bb7e6ca4554c301fb7be5ac99b0604df3c550f13a2e656b8ea9ce216221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a6b08eebe95de79bbdcbbdb23f3e2a163ae57ccc317912c473e37248c3e2580",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-23T17:23:05Z",
    "title_canon_sha256": "4a5d6e128306084decdd2fec2b09c3126fa4767738f6eeb1e60a7b5225ddf725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06515",
    "kind": "arxiv",
    "version": 3
  }
}