Pith Number

pith:TLXY6XS3

pith:2016:TLXY6XS3M5SHHBQBILPD6GDYWE

not attested not anchored not stored refs pending

Stability of trace theorems on the sphere

Chris Jeavons, Mitsuru Sugimoto, Neal Bez, Tohru Ozawa

arxiv:1611.00928 v1 · 2016-11-03 · math.CA · 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{TLXY6XS3M5SHHBQBILPD6GDYWE}

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	2026-05-18T01:00:18.214341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aef8f5e5b676473860142de3f1878b133df26c32e33328263a18f520faa8c19

Aliases

arxiv: 1611.00928 · arxiv_version: 1611.00928v1 · doi: 10.48550/arxiv.1611.00928 · pith_short_12: TLXY6XS3M5SH · pith_short_16: TLXY6XS3M5SHHBQB · pith_short_8: TLXY6XS3

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/TLXY6XS3M5SHHBQBILPD6GDYWE \
  | 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: 9aef8f5e5b676473860142de3f1878b133df26c32e33328263a18f520faa8c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dcc67a1f2de633b80ff03fdd0ed6f566984de4100cae34fc499fcf4ba421f98",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-03T09:28:22Z",
    "title_canon_sha256": "e46a050709700e5d1e09eaf2425dc22aa53fb65543e59c8b9a4747b5b5f9b6ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00928",
    "kind": "arxiv",
    "version": 1
  }
}