Pith Number

pith:LZZFNTYY

pith:2012:LZZFNTYYKHWDH32EGX3UY6V746

not attested not anchored not stored refs pending

Singularity of eigenfunctions at the junction of shrinking tubes. Part I

Susanna Terracini, Veronica Felli

arxiv:1202.4414 v2 · 2012-02-20 · 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{LZZFNTYYKHWDH32EGX3UY6V746}

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	2026-05-18T03:27:41.156953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e7256cf1851ec33ef4435f74c7abfe78f768a8df7ae68a49d9df814d5ebd3d4

Aliases

arxiv: 1202.4414 · arxiv_version: 1202.4414v2 · doi: 10.48550/arxiv.1202.4414 · pith_short_12: LZZFNTYYKHWD · pith_short_16: LZZFNTYYKHWDH32E · pith_short_8: LZZFNTYY

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/LZZFNTYYKHWDH32EGX3UY6V746 \
  | 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: 5e7256cf1851ec33ef4435f74c7abfe78f768a8df7ae68a49d9df814d5ebd3d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c55ab06eab54d92aa523212d630281da72b8ff45e5d57ad1a5fe2f06d01d3b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-20T18:43:23Z",
    "title_canon_sha256": "dcb9a99f8f276b82743cf523070932d942433e32d93194106a16161521623353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4414",
    "kind": "arxiv",
    "version": 2
  }
}