Pith Number

pith:BCCTT4GS

pith:2014:BCCTT4GS4RWIZ64QABP6SL4K4B

not attested not anchored not stored refs pending

Rigidity and gap results for low index properly immersed self--shrinkers in $\mathbb{R}^{m+1}$

Debora Impera

arxiv:1408.3479 v2 · 2014-08-15 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCCTT4GS4RWIZ64QABP6SL4K4B}

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	2026-05-18T02:29:38.741658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088539f0d2e46c8cfb90005fe92f8ae07e77e9d02e1a9c4fb87d0d4b1a6f446d

Aliases

arxiv: 1408.3479 · arxiv_version: 1408.3479v2 · doi: 10.48550/arxiv.1408.3479 · pith_short_12: BCCTT4GS4RWI · pith_short_16: BCCTT4GS4RWIZ64Q · pith_short_8: BCCTT4GS

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/BCCTT4GS4RWIZ64QABP6SL4K4B \
  | 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: 088539f0d2e46c8cfb90005fe92f8ae07e77e9d02e1a9c4fb87d0d4b1a6f446d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b77edf993e5110824f7c1099a60d533bc2db9e93632a7aec4d3f6ce5a03ceb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-15T07:14:27Z",
    "title_canon_sha256": "e91f6e36d619c5935fee8c323661d092109f166ce7ab7d33de298ae0115eb9ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3479",
    "kind": "arxiv",
    "version": 2
  }
}