Pith Number

pith:PFBWDRRK

pith:2010:PFBWDRRKARW3R3XYUDWQZS3UKW

not attested not anchored not stored refs pending

Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces

B. D. Wick, E. Sawyer, N. Arcozzi, R. Rochberg

arxiv:1010.4788 v3 · 2010-10-22 · math.AP · 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{PFBWDRRKARW3R3XYUDWQZS3UKW}

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	2026-05-18T02:47:16.416604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794361c62a046db8eef8a0ed0ccb74559f3ad3537b635db1e2b0c63d224b100d

Aliases

arxiv: 1010.4788 · arxiv_version: 1010.4788v3 · doi: 10.48550/arxiv.1010.4788 · pith_short_12: PFBWDRRKARW3 · pith_short_16: PFBWDRRKARW3R3XY · pith_short_8: PFBWDRRK

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/PFBWDRRKARW3R3XYUDWQZS3UKW \
  | 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: 794361c62a046db8eef8a0ed0ccb74559f3ad3537b635db1e2b0c63d224b100d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28aa6c0256291a8656a6aa20074ec8c44135a9920b2adf7fcf441ff871fe4fdf",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-22T19:43:50Z",
    "title_canon_sha256": "20c2bcc9e9d2143f173b7c7981fa83666c41873731b629dd64993ffa057d1190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4788",
    "kind": "arxiv",
    "version": 3
  }
}