Pith Number

pith:2WM4IQK4

pith:2024:2WM4IQK4MCZO5RV2PGHL2TTDCN

not attested not anchored not stored refs pending

Minimal projective resolution and magnitude homology of geodetic metric spaces

Shun Wakatsuki, Yasuhiko Asao

arxiv:2408.12147 v1 · 2024-08-22 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WM4IQK4MCZO5RV2PGHL2TTDCN}

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	2026-07-05T08:58:04.696304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d599c4415c60b2eec6ba798ebd4e631347536ac53fd50328858969d8c22a0968

Aliases

arxiv: 2408.12147 · arxiv_version: 2408.12147v1 · doi: 10.48550/arxiv.2408.12147 · pith_short_12: 2WM4IQK4MCZO · pith_short_16: 2WM4IQK4MCZO5RV2 · pith_short_8: 2WM4IQK4

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/2WM4IQK4MCZO5RV2PGHL2TTDCN \
  | 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: d599c4415c60b2eec6ba798ebd4e631347536ac53fd50328858969d8c22a0968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ac8b997db7d82cb34e3700a0ed121efb864aae60311b39a383acd958cda0c58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-08-22T06:18:19Z",
    "title_canon_sha256": "49fc638cffb9fd7f52c4f09b45b3f7f50c1b808caf3d0edc2ab5d0111d1fde0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.12147",
    "kind": "arxiv",
    "version": 1
  }
}