Pith Number

pith:LWREXR5R

pith:2011:LWREXR5R6VTPBJCTANUETFHMPK

not attested not anchored not stored refs pending

Singular gradient flow of the distance function and homotopy equivalence

Carlo Sinestrari, Khai Tien Nguyen, Paolo Albano, Piermarco Cannarsa

arxiv:1109.5375 v1 · 2011-09-25 · math.AP · cs.SY · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWREXR5R6VTPBJCTANUETFHMPK}

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	2026-05-18T03:00:59.477904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da24bc7b1f566f0a45303684994ec7a856a63fad6e4e1ecefffaac2d3f012e3

Aliases

arxiv: 1109.5375 · arxiv_version: 1109.5375v1 · doi: 10.48550/arxiv.1109.5375 · pith_short_12: LWREXR5R6VTP · pith_short_16: LWREXR5R6VTPBJCT · pith_short_8: LWREXR5R

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/LWREXR5R6VTPBJCTANUETFHMPK \
  | 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: 5da24bc7b1f566f0a45303684994ec7a856a63fad6e4e1ecefffaac2d3f012e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2af106b6d16bf3a8cc3cc43bb1b774d7d329825c6dc5de2d1114a6e56d714b4a",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-25T17:35:02Z",
    "title_canon_sha256": "38441dc39b80783b57adc4defac75e641f9b1c3849bf99fc467cddb45c2e7f63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5375",
    "kind": "arxiv",
    "version": 1
  }
}