Pith Number

pith:T5FRGAQ6

pith:2015:T5FRGAQ6YS6K4D7GXQZ5DED6M2

not attested not anchored not stored refs pending

On Marked Braid Groups

Denis Fedoseev, Vassily Manturov, Zhiyun Cheng

arxiv:1507.02700 v2 · 2015-07-09 · 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{T5FRGAQ6YS6K4D7GXQZ5DED6M2}

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	2026-05-18T01:36:27.215696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4b13021ec4bcae0fe6bc33d1907e668573ef2dedf832be311abe340924fa6c

Aliases

arxiv: 1507.02700 · arxiv_version: 1507.02700v2 · doi: 10.48550/arxiv.1507.02700 · pith_short_12: T5FRGAQ6YS6K · pith_short_16: T5FRGAQ6YS6K4D7G · pith_short_8: T5FRGAQ6

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/T5FRGAQ6YS6K4D7GXQZ5DED6M2 \
  | 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: 9f4b13021ec4bcae0fe6bc33d1907e668573ef2dedf832be311abe340924fa6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3acea0911fdd1b4f1fff5b505750d56f66d69819e17f3e5c4aa821222da2fd18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-09T20:34:45Z",
    "title_canon_sha256": "5e2cbb48e31d9692804647b6b2f5974379475173e26911a631b30765c3dc7613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02700",
    "kind": "arxiv",
    "version": 2
  }
}