Pith Number

pith:4MBSB4FS

pith:2016:4MBSB4FSHZ6E5D4T6XXMC5CD6K

not attested not anchored not stored refs pending

Dehn functions and H\"older extensions in asymptotic cones

Alexander Lytchak, Robert Young, Stefan Wenger

arxiv:1608.00082 v1 · 2016-07-30 · math.MG · 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{4MBSB4FSHZ6E5D4T6XXMC5CD6K}

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	2026-05-18T01:10:13.863178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30320f0b23e7c4e8f93f5eec17443f28dde33d281b95d9338160052751c52db

Aliases

arxiv: 1608.00082 · arxiv_version: 1608.00082v1 · doi: 10.48550/arxiv.1608.00082 · pith_short_12: 4MBSB4FSHZ6E · pith_short_16: 4MBSB4FSHZ6E5D4T · pith_short_8: 4MBSB4FS

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/4MBSB4FSHZ6E5D4T6XXMC5CD6K \
  | 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: e30320f0b23e7c4e8f93f5eec17443f28dde33d281b95d9338160052751c52db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "944af568d943e6c617c2f0ef9ef0f438f842ce6ddf8fc68698d5a3653cdb4119",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-07-30T06:36:22Z",
    "title_canon_sha256": "022b4165a446c34ab8f4acd806c90caf53c9411eefefd9621782b89744ff7632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00082",
    "kind": "arxiv",
    "version": 1
  }
}