Pith Number

pith:3H3K4DZA

pith:2016:3H3K4DZACRF7IIRKT2FZWTEMFV

not attested not anchored not stored refs pending

The Groups $G_{n}^{k}$ and Fundamental Groups of Configuration Spaces

Vassily Olegovich Manturov

arxiv:1612.04102 v2 · 2016-12-13 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3H3K4DZACRF7IIRKT2FZWTEMFV}

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	2026-05-18T00:52:43.932975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f6ae0f20144bf4222a9e8b9b4c8c2d500006f8e8a255a618871c5d93936021

Aliases

arxiv: 1612.04102 · arxiv_version: 1612.04102v2 · doi: 10.48550/arxiv.1612.04102 · pith_short_12: 3H3K4DZACRF7 · pith_short_16: 3H3K4DZACRF7IIRK · pith_short_8: 3H3K4DZA

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/3H3K4DZACRF7IIRKT2FZWTEMFV \
  | 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: d9f6ae0f20144bf4222a9e8b9b4c8c2d500006f8e8a255a618871c5d93936021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5627664434fd33f50f9283cbd7578167294a42d027c1eaa45cd3624e9e27e6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-13T11:40:42Z",
    "title_canon_sha256": "e17137eb68e51eadc7791f78b6e6e456feb2da385378d6f88917368c221c629a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04102",
    "kind": "arxiv",
    "version": 2
  }
}