Pith Number

pith:JPSLCAJZ

pith:2023:JPSLCAJZMQCL4GJKIZSETSZYDQ

not attested not anchored not stored refs pending

Letter-braiding: bridging combinatorial group theory and topology

Nir Gadish

arxiv:2308.13635 v3 · 2023-08-25 · math.GR · math.AT · 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{JPSLCAJZMQCL4GJKIZSETSZYDQ}

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.

Cited by

1 paper in Pith

Milnor invariants and thickness of spherical links

Receipt and verification

First computed	2026-07-05T10:17:05.084178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be4b101396404be192a466449cb381c2e63e8e697935b0a86cc1f0fb898ae7c

Aliases

arxiv: 2308.13635 · arxiv_version: 2308.13635v3 · doi: 10.48550/arxiv.2308.13635 · pith_short_12: JPSLCAJZMQCL · pith_short_16: JPSLCAJZMQCL4GJK · pith_short_8: JPSLCAJZ

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/JPSLCAJZMQCL4GJKIZSETSZYDQ \
  | 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: 4be4b101396404be192a466449cb381c2e63e8e697935b0a86cc1f0fb898ae7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec8bcdda6392cf34d9fee56632ea26c0e16d78514fdf1ab43e32346b59010b5a",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-08-25T19:04:28Z",
    "title_canon_sha256": "123737228eabdd594096a3ba4600e7baddde91e67f6b228d2682e717941a0c52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.13635",
    "kind": "arxiv",
    "version": 3
  }
}