Pith Number

pith:2VPECS4S

pith:2017:2VPECS4SBUZBJL5DAZE7S24IJW

not attested not anchored not stored refs pending

Involution on pseudoisotopy spaces and the space of nonnegatively curved metrics

Francis Thomas Farrell, Mauricio Bustamante, Yi Jiang

arxiv:1703.07529 v3 · 2017-03-22 · math.GT · math.AT · math.DG · 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{2VPECS4SBUZBJL5DAZE7S24IJW}

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	2026-07-05T01:44:43.899606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55e414b920d3214afa30649f96b884d8644dd122b94eeda1f1bb6953e15abc9

Aliases

arxiv: 1703.07529 · arxiv_version: 1703.07529v3 · doi: 10.48550/arxiv.1703.07529 · pith_short_12: 2VPECS4SBUZB · pith_short_16: 2VPECS4SBUZBJL5D · pith_short_8: 2VPECS4S

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/2VPECS4SBUZBJL5DAZE7S24IJW \
  | 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: d55e414b920d3214afa30649f96b884d8644dd122b94eeda1f1bb6953e15abc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f11c7ef82f0d77cfc7c640e5464b07abc331da797066343576c18bc9c88f387",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-22T05:05:23Z",
    "title_canon_sha256": "139ca9160e565defdfbeb41c8d593d732066c01108de0b47df5a32932c6edb8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07529",
    "kind": "arxiv",
    "version": 3
  }
}