Pith Number

pith:5HEDNHGH

pith:2012:5HEDNHGHE4JBI66MA72ANAC4F6

not attested not anchored not stored refs pending

Positive harmonic functions in union of chambers

Laura Abatangelo, Susanna Terracini

arxiv:1210.1070 v2 · 2012-10-03 · 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{5HEDNHGHE4JBI66MA72ANAC4F6}

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	2026-05-18T02:55:18.676227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c8369cc72712147bcc07f406805c2fb10fb646d16e098e345817850c218644

Aliases

arxiv: 1210.1070 · arxiv_version: 1210.1070v2 · doi: 10.48550/arxiv.1210.1070 · pith_short_12: 5HEDNHGHE4JB · pith_short_16: 5HEDNHGHE4JBI66M · pith_short_8: 5HEDNHGH

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/5HEDNHGHE4JBI66MA72ANAC4F6 \
  | 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: e9c8369cc72712147bcc07f406805c2fb10fb646d16e098e345817850c218644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00997e16b481e67b42a198fa726aa315e62d9033287bd725ef3ddc59d4cac54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-03T11:41:16Z",
    "title_canon_sha256": "31820104e6dd179e1036671107b415508050a290a04f3f1b70b6bb7ce7b968e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1070",
    "kind": "arxiv",
    "version": 2
  }
}