Pith Number

pith:O5YJAITT

pith:2016:O5YJAITTVYHUDOKXN6IVNIWCNT

not attested not anchored not stored refs pending

Partial Dehn twists of free groups relative to local Dehn twists - a dichotomy

Kaidi Ye

arxiv:1605.04479 v1 · 2016-05-14 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5YJAITTVYHUDOKXN6IVNIWCNT}

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	2026-05-18T01:14:47.103646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7770902273ae0f41b9576f9156a2c26cfe53578e4412c4fc40bf296975323db2

Aliases

arxiv: 1605.04479 · arxiv_version: 1605.04479v1 · doi: 10.48550/arxiv.1605.04479 · pith_short_12: O5YJAITTVYHU · pith_short_16: O5YJAITTVYHUDOKX · pith_short_8: O5YJAITT

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/O5YJAITTVYHUDOKXN6IVNIWCNT \
  | 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: 7770902273ae0f41b9576f9156a2c26cfe53578e4412c4fc40bf296975323db2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae306658ab9dc26d27bdab412e4600299cc0a126e01cbdcfe4908e4b264bd650",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-14T23:18:57Z",
    "title_canon_sha256": "df0bf56f75769db2fa5fd3f5a7b27e66c6231d2a283600e25d2afe300e726f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04479",
    "kind": "arxiv",
    "version": 1
  }
}