Pith Number

pith:SB6HPBQE

pith:2013:SB6HPBQEKRAQO6Q4YAVGRXPAW5

not attested not anchored not stored refs pending

A tour through $\delta$-invariants: From Nash's embedding theorem to ideal immersions, best ways of living and beyond

Bang-Yen Chen

arxiv:1307.1030 v1 · 2013-07-03 · 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{SB6HPBQEKRAQO6Q4YAVGRXPAW5}

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	2026-05-18T03:19:23.115886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

907c7786045441077a1cc02a68dde0b771c772f527293f15017bd6e8a97cdfa5

Aliases

arxiv: 1307.1030 · arxiv_version: 1307.1030v1 · doi: 10.48550/arxiv.1307.1030 · pith_short_12: SB6HPBQEKRAQ · pith_short_16: SB6HPBQEKRAQO6Q4 · pith_short_8: SB6HPBQE

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/SB6HPBQEKRAQO6Q4YAVGRXPAW5 \
  | 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: 907c7786045441077a1cc02a68dde0b771c772f527293f15017bd6e8a97cdfa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2a1e43542f8de85c1abfd647d64effd8e74624a8c8c3baf9c6f90390258153",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-03T14:51:33Z",
    "title_canon_sha256": "3511068b034a5ec6a281cf93b0c2c0550ee07a4b57afe41029ff516f33b507e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1030",
    "kind": "arxiv",
    "version": 1
  }
}