Pith Number

pith:6B56O7DG

pith:2026:6B56O7DGMB7FGFJZVKF3GLVINR

not attested not anchored not stored refs pending

Generalizations of the groups $G_{n}^{k}$: graphs, moduli spaces, algebraic geometry, spherical braids

Vassily Olegovich Manturov

arxiv:2608.07976 v1 · 2026-08-08 · 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{6B56O7DGMB7FGFJZVKF3GLVINR}

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	2026-08-11T01:21:17.224847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f07be77c66607e531539aa8bb32ea86c71a31e39a48ee1e45ba1ef591e2d35bd

Aliases

arxiv: 2608.07976 · arxiv_version: 2608.07976v1 · doi: 10.48550/arxiv.2608.07976 · pith_short_12: 6B56O7DGMB7F · pith_short_16: 6B56O7DGMB7FGFJZ · pith_short_8: 6B56O7DG

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/6B56O7DGMB7FGFJZVKF3GLVINR \
  | 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: f07be77c66607e531539aa8bb32ea86c71a31e39a48ee1e45ba1ef591e2d35bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d2c05ceb49b3021ca24e8f557fa1e6ad1618271f5ebac0a34250862073094c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-08-08T07:24:13Z",
    "title_canon_sha256": "3a18eb42e30083cc0882027228512bae89162f3276ad5566fdefbd7e25c47788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07976",
    "kind": "arxiv",
    "version": 1
  }
}