Pith Number

pith:7LN5JYFR

pith:2021:7LN5JYFRIZV7VCPEG7AC5ZF7MD

not attested not anchored not stored refs pending

Finiteness properties of automorphism spaces of manifolds with finite fundamental group

Alexander Kupers, Manuel Krannich, Mauricio Bustamante

arxiv:2103.13468 v2 · 2021-03-24 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LN5JYFRIZV7VCPEG7AC5ZF7MD}

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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.

Cited by

1 paper in Pith

Diffeomorphism groups and gauge theory for families

Receipt and verification

First computed	2026-07-05T05:42:46.290183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fadbd4e0b1466bfa89e437c02ee4bf60c9c09088121709f9c14f0f8ad8f7c201

Aliases

arxiv: 2103.13468 · arxiv_version: 2103.13468v2 · doi: 10.48550/arxiv.2103.13468 · pith_short_12: 7LN5JYFRIZV7 · pith_short_16: 7LN5JYFRIZV7VCPE · pith_short_8: 7LN5JYFR

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/7LN5JYFRIZV7VCPEG7AC5ZF7MD \
  | 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: fadbd4e0b1466bfa89e437c02ee4bf60c9c09088121709f9c14f0f8ad8f7c201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef55fea25f5182015900b262316a96c01a4350dff6d7888befb0bb463e50c828",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-03-24T19:55:06Z",
    "title_canon_sha256": "5857de14cf7161f91c375620ca2b10b34902502d392f82eedd955851fc031ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.13468",
    "kind": "arxiv",
    "version": 2
  }
}