Pith Number

pith:K4UDXEQP

pith:2021:K4UDXEQPYOTNXJCXYRSE7JFTPO

not attested not anchored not stored refs pending

An asymptotic analysis of separating pointlike and $C^{\beta}$-curvelike singularities

Alex Goe{\ss}mann, Van Tiep Do

arxiv:2107.01949 v3 · 2021-07-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4UDXEQPYOTNXJCXYRSE7JFTPO}

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	2026-07-05T03:09:30.974175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57283b920fc3a6dba457c4644fa4b37bb11980e845a9b9c407b3138e5cfe0f63

Aliases

arxiv: 2107.01949 · arxiv_version: 2107.01949v3 · doi: 10.48550/arxiv.2107.01949 · pith_short_12: K4UDXEQPYOTN · pith_short_16: K4UDXEQPYOTNXJCX · pith_short_8: K4UDXEQP

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/K4UDXEQPYOTNXJCXYRSE7JFTPO \
  | 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: 57283b920fc3a6dba457c4644fa4b37bb11980e845a9b9c407b3138e5cfe0f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51850f3f295cfc18c914f7169e7df6913ddb3b210af589f72ec86b09d4c834db",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-07-05T11:34:48Z",
    "title_canon_sha256": "a4ffe2d1af3f2bdb9777cb7090b73ace5869ecaf871b89c2e680262d4639b737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01949",
    "kind": "arxiv",
    "version": 3
  }
}