Pith Number

pith:UJ6IEDIN

pith:2016:UJ6IEDINQK3Q7SMSFJUVGBHP5D

not attested not anchored not stored refs pending

Lower Bound For Dilatations

Mehdi Yazdi

arxiv:1610.04278 v2 · 2016-10-13 · 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{UJ6IEDINQK3Q7SMSFJUVGBHP5D}

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	2026-05-18T00:17:02.087910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a27c820d0d82b70fc9922a695304efe8f422390be30bb4a45bfaff6c8ef4c742

Aliases

arxiv: 1610.04278 · arxiv_version: 1610.04278v2 · doi: 10.48550/arxiv.1610.04278 · pith_short_12: UJ6IEDINQK3Q · pith_short_16: UJ6IEDINQK3Q7SMS · pith_short_8: UJ6IEDIN

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/UJ6IEDINQK3Q7SMSFJUVGBHP5D \
  | 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: a27c820d0d82b70fc9922a695304efe8f422390be30bb4a45bfaff6c8ef4c742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5cd409232f18e6eaa8d8119091b0608632378e7e47948cfe8386e7e2077a90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-13T22:21:53Z",
    "title_canon_sha256": "bdb8a639a1a7d919865d4e2671e84b0ecf2ba4066dd7dcb9cad6a13442c1ca1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04278",
    "kind": "arxiv",
    "version": 2
  }
}