Pith Number

pith:HVSS3ULB

pith:2017:HVSS3ULBA4SXCV4EN4WOOCSA2C

not attested not anchored not stored refs pending

Uniform independence for Dehn twist automorphisms of a free group

Edgar A. Bering IV

arxiv:1709.07468 v3 · 2017-09-21 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVSS3ULBA4SXCV4EN4WOOCSA2C}

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	2026-05-18T00:03:37.254164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d652dd16107257157846f2ce70a40d0a9e18beb18681385d2237e178d047e4c

Aliases

arxiv: 1709.07468 · arxiv_version: 1709.07468v3 · doi: 10.48550/arxiv.1709.07468 · pith_short_12: HVSS3ULBA4SX · pith_short_16: HVSS3ULBA4SXCV4E · pith_short_8: HVSS3ULB

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/HVSS3ULBA4SXCV4EN4WOOCSA2C \
  | 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: 3d652dd16107257157846f2ce70a40d0a9e18beb18681385d2237e178d047e4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4761b63ed05840cd8bfd9ea7a95a1d90dc0d0e80122e5aeea27f7f65f7522c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-21T18:14:54Z",
    "title_canon_sha256": "50e0f951b0b84f5deed0f6b69a02a007ae97b2c6ca0c88de98261e4a0c13db42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07468",
    "kind": "arxiv",
    "version": 3
  }
}