Pith Number

pith:VKGU33OB

pith:2011:VKGU33OBFKNDVSG4RAC4Z6OGMH

not attested not anchored not stored refs pending

A Smooth Model for the String Group

Christoph Sachse, Christoph Wockel, Thomas Nikolaus

arxiv:1104.4288 v4 · 2011-04-21 · math.AT · 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{VKGU33OBFKNDVSG4RAC4Z6OGMH}

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	2026-05-18T03:03:10.489695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa8d4dedc12a9a3ac8dc8805ccf9c661c88a710becafed3821fbb38a8091a2e9

Aliases

arxiv: 1104.4288 · arxiv_version: 1104.4288v4 · doi: 10.48550/arxiv.1104.4288 · pith_short_12: VKGU33OBFKND · pith_short_16: VKGU33OBFKNDVSG4 · pith_short_8: VKGU33OB

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/VKGU33OBFKNDVSG4RAC4Z6OGMH \
  | 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: aa8d4dedc12a9a3ac8dc8805ccf9c661c88a710becafed3821fbb38a8091a2e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82b287a4f97f8934f722dd56441c0f936b930a1f7ac5e55a807c1974bdca836a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-04-21T15:18:56Z",
    "title_canon_sha256": "09bab10efc6ceffb1a879fddc959ab130164345b65b8105049d66440cf575fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4288",
    "kind": "arxiv",
    "version": 4
  }
}