Pith Number

pith:4MPV3ER2

pith:2015:4MPV3ER23YQHHFD5OQLB3ZWGS4

not attested not anchored not stored refs pending

Global Actions

Raimund Preusser

arxiv:1506.08876 v1 · 2015-06-29 · math.KT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MPV3ER23YQHHFD5OQLB3ZWGS4}

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	2026-05-18T01:37:34.225247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31f5d923ade2073947d74161de6c69735b00141feccf2b828a3febebb9326f9

Aliases

arxiv: 1506.08876 · arxiv_version: 1506.08876v1 · doi: 10.48550/arxiv.1506.08876 · pith_short_12: 4MPV3ER23YQH · pith_short_16: 4MPV3ER23YQHHFD5 · pith_short_8: 4MPV3ER2

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/4MPV3ER23YQHHFD5OQLB3ZWGS4 \
  | 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: e31f5d923ade2073947d74161de6c69735b00141feccf2b828a3febebb9326f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a1e71565316cf779e1b0cf4583bfb0da160b3afb37a9cd5858c3a5f91e2678c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-06-29T22:02:39Z",
    "title_canon_sha256": "af1ca692e6c3272f0ca209e2d58c65c8c829b87f8a66383e6274a4b9d18055ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08876",
    "kind": "arxiv",
    "version": 1
  }
}