Pith Number

pith:6SOK5JR6

pith:2018:6SOK5JR6T3CSWCIQ4DFMFU3A47

not attested not anchored not stored refs pending

The homotopy groups of a homotopy group completion

Daniel A. Ramras

arxiv:1807.02613 v2 · 2018-07-07 · 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{6SOK5JR6T3CSWCIQ4DFMFU3A47}

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	2026-05-17T23:57:15.069208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f49caea63e9ec52b0910e0cac2d360e7cbb5882ed330739d0ff2f5791299fb1b

Aliases

arxiv: 1807.02613 · arxiv_version: 1807.02613v2 · doi: 10.48550/arxiv.1807.02613 · pith_short_12: 6SOK5JR6T3CS · pith_short_16: 6SOK5JR6T3CSWCIQ · pith_short_8: 6SOK5JR6

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/6SOK5JR6T3CSWCIQ4DFMFU3A47 \
  | 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: f49caea63e9ec52b0910e0cac2d360e7cbb5882ed330739d0ff2f5791299fb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06ce918bee10614cf68f4aeefd57e3802aca506834d87daa08abfc4cc520ff6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-07-07T05:09:56Z",
    "title_canon_sha256": "a167fcf5c4e8c48cacadc2e1eb4fbd07437913bd9887322e5512fd5b6587b05a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02613",
    "kind": "arxiv",
    "version": 2
  }
}