Pith Number

pith:7ROG3BDR

pith:2018:7ROG3BDRBF5LE26GX4AME2CBPH

not attested not anchored not stored refs pending

Torus actions of complexity one and their local properties

Anton Ayzenberg

arxiv:1802.08828 v1 · 2018-02-24 · 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{7ROG3BDRBF5LE26GX4AME2CBPH}

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	2026-05-17T23:51:49.531068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc5c6d8471097ab26bc6bf00c2684179cd51796e6928e92435078ac030ec6e20

Aliases

arxiv: 1802.08828 · arxiv_version: 1802.08828v1 · doi: 10.48550/arxiv.1802.08828 · pith_short_12: 7ROG3BDRBF5L · pith_short_16: 7ROG3BDRBF5LE26G · pith_short_8: 7ROG3BDR

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/7ROG3BDRBF5LE26GX4AME2CBPH \
  | 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: fc5c6d8471097ab26bc6bf00c2684179cd51796e6928e92435078ac030ec6e20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4b332786de00aa89e47dda436d3df52a0767fd9347ec958b53f23983bd8337e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-02-24T10:24:24Z",
    "title_canon_sha256": "17d5262b3aea5242f376ec818bc971d9a680922106a2fe7184ac87116de04efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08828",
    "kind": "arxiv",
    "version": 1
  }
}