Pith Number

pith:6MXCPULM

pith:2015:6MXCPULMDKI4TPCJEV5DLFGMQF

not attested not anchored not stored refs pending

Higher order Dehn functions for horospheres in products of Hadamard spaces

Gabriele Link

arxiv:1508.02192 v1 · 2015-08-10 · 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{6MXCPULMDKI4TPCJEV5DLFGMQF}

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	2026-05-18T01:35:33.917483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f32e27d16c1a91c9bc49257a3594cc817511571ceeaeaf05030f7b982b14eb65

Aliases

arxiv: 1508.02192 · arxiv_version: 1508.02192v1 · doi: 10.48550/arxiv.1508.02192 · pith_short_12: 6MXCPULMDKI4 · pith_short_16: 6MXCPULMDKI4TPCJ · pith_short_8: 6MXCPULM

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/6MXCPULMDKI4TPCJEV5DLFGMQF \
  | 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: f32e27d16c1a91c9bc49257a3594cc817511571ceeaeaf05030f7b982b14eb65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c268708081b8067ded49c355599fd7345d4fa915cc6b31d699beb4e13a7656d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-08-10T10:28:37Z",
    "title_canon_sha256": "d96767864055783eb1d1276781c70fcf5c8db38e0bd3cdb80be79ae890fece50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02192",
    "kind": "arxiv",
    "version": 1
  }
}