Pith Number

pith:HIBXXAS6

pith:2013:HIBXXAS6GSAN7JXDJOVPPBFTZP

not attested not anchored not stored refs pending

Singularity of eigenfunctions at the junction of shrinking tubes, Part II

Laura Abatangelo, Susanna Terracini, Veronica Felli

arxiv:1302.2865 v1 · 2013-02-12 · 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{HIBXXAS6GSAN7JXDJOVPPBFTZP}

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	2026-05-18T03:33:50.553293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a037b825e3480dfa6e34baaf784b3cbdb2d9310995974fe0fd9adf57dc2f1e8

Aliases

arxiv: 1302.2865 · arxiv_version: 1302.2865v1 · doi: 10.48550/arxiv.1302.2865 · pith_short_12: HIBXXAS6GSAN · pith_short_16: HIBXXAS6GSAN7JXD · pith_short_8: HIBXXAS6

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/HIBXXAS6GSAN7JXDJOVPPBFTZP \
  | 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: 3a037b825e3480dfa6e34baaf784b3cbdb2d9310995974fe0fd9adf57dc2f1e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9effb499c6a5b98f7fcb1c6405613d7af39729e0e314e7fb5c86d92b03feb2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-12T17:19:23Z",
    "title_canon_sha256": "d993db37b9e4e535fba0fcab6afbab92f3bb90b3ba7c57cbe032747e249a0c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2865",
    "kind": "arxiv",
    "version": 1
  }
}