Pith Number

pith:QWH2HMQO

pith:2020:QWH2HMQOMTD5Z7BQXK7NGLBAQU

not attested not anchored not stored refs pending

On the categorical and topological structure of timelike and causal homotopy classes of paths in smooth spacetimes

Martin G\"unther (Karlsruhe Institute of Technology)

arxiv:2008.00265 v2 · 2020-08-01 · 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{QWH2HMQOMTD5Z7BQXK7NGLBAQU}

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.

Cited by

1 paper in Pith

Localizing Persona Representations in LLMs

Receipt and verification

First computed	2026-07-05T03:05:31.250675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858fa3b20e64c7dcfc30babed32c2085291082f4dd619aeb400cc0dce10707d2

Aliases

arxiv: 2008.00265 · arxiv_version: 2008.00265v2 · doi: 10.48550/arxiv.2008.00265 · pith_short_12: QWH2HMQOMTD5 · pith_short_16: QWH2HMQOMTD5Z7BQ · pith_short_8: QWH2HMQO

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/QWH2HMQOMTD5Z7BQXK7NGLBAQU \
  | 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: 858fa3b20e64c7dcfc30babed32c2085291082f4dd619aeb400cc0dce10707d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f81676c4f6996af7b085b1d07b49aacc7f7d9245afcb2aa094101652d0a644e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-08-01T13:53:32Z",
    "title_canon_sha256": "fb7b08c67a9e142e41ee689fbe450951ee5d5ca1daaedda46b1e7cb2ebade7dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.00265",
    "kind": "arxiv",
    "version": 2
  }
}