Pith Number

pith:DGQHTWY5

pith:2013:DGQHTWY5ODLI5XRKW4JARPEPNZ

not attested not anchored not stored refs pending

On the torsion function with Robin or Dirichlet boundary conditions

D. Bucur, M. van den Berg

arxiv:1305.2137 v1 · 2013-05-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGQHTWY5ODLI5XRKW4JARPEPNZ}

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	2026-05-18T00:47:38.495625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19a079db1d70d68ede2ab71208bc8f6e50af326cc876291ac5321e3edf2bef7c

Aliases

arxiv: 1305.2137 · arxiv_version: 1305.2137v1 · doi: 10.48550/arxiv.1305.2137 · pith_short_12: DGQHTWY5ODLI · pith_short_16: DGQHTWY5ODLI5XRK · pith_short_8: DGQHTWY5

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/DGQHTWY5ODLI5XRKW4JARPEPNZ \
  | 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: 19a079db1d70d68ede2ab71208bc8f6e50af326cc876291ac5321e3edf2bef7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f68c9e591064035f54885325b5aa3160858f55c2e42e2af2fe64e019cc7f380",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-09T16:25:19Z",
    "title_canon_sha256": "ca5578bfeff7d277d54a24e06853acc6b28749c4e62db9ec5ae9db071bf21bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2137",
    "kind": "arxiv",
    "version": 1
  }
}