Pith Number

pith:GXVQXM6Q

pith:2015:GXVQXM6QCPL7MMBHZFIPG5GYGI

not attested not anchored not stored refs pending

Dual graphs and modified Barlow--Bass resistance estimates for repeated barycentric subdivisions

Alexander Teplyaev, Antoni Brzoska, Daniel J. Kelleher, Hugo Panzo

arxiv:1505.03161 v3 · 2015-05-12 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXVQXM6QCPL7MMBHZFIPG5GYGI}

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	2026-05-18T00:12:35.889376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35eb0bb3d013d7f63027c950f374d83235f1699d63bd9554a69e502e44f15259

Aliases

arxiv: 1505.03161 · arxiv_version: 1505.03161v3 · doi: 10.48550/arxiv.1505.03161 · pith_short_12: GXVQXM6QCPL7 · pith_short_16: GXVQXM6QCPL7MMBH · pith_short_8: GXVQXM6Q

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/GXVQXM6QCPL7MMBHZFIPG5GYGI \
  | 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: 35eb0bb3d013d7f63027c950f374d83235f1699d63bd9554a69e502e44f15259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eaa394b19966326ffb8f8fe25f305ab2cee5ef1f2af60b9920a0cc9698bf08b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-12T20:30:39Z",
    "title_canon_sha256": "4077df56c81948ed4abff53096c40c36b1b00408defcaefb0fed0648db829db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03161",
    "kind": "arxiv",
    "version": 3
  }
}