Pith Number

pith:S4PTG2JK

pith:2013:S4PTG2JK35YRIXAHNNKSBZSIAY

not attested not anchored not stored refs pending

Triharmonic isometric immersions into a manifold of non-positively constant curvature

Hajime Urakawa, Nobumitsu Nakauchi, Shun Maeta

arxiv:1309.0280 v2 · 2013-09-02 · 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{S4PTG2JK35YRIXAHNNKSBZSIAY}

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	2026-05-18T03:09:21.902094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

971f33692adf71145c076b5520e648060b74968f44d906cf859886e6f26d19d3

Aliases

arxiv: 1309.0280 · arxiv_version: 1309.0280v2 · doi: 10.48550/arxiv.1309.0280 · pith_short_12: S4PTG2JK35YR · pith_short_16: S4PTG2JK35YRIXAH · pith_short_8: S4PTG2JK

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/S4PTG2JK35YRIXAHNNKSBZSIAY \
  | 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: 971f33692adf71145c076b5520e648060b74968f44d906cf859886e6f26d19d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dcc5971c2b3a208467574429b014998e924c1b2e0b018e55766794c76519ce7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-02T01:03:17Z",
    "title_canon_sha256": "efb4154e154895554c7f3036a17b7a92ae7c8f8dfa58be902145fdc6a8c8a213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0280",
    "kind": "arxiv",
    "version": 2
  }
}