Pith Number

pith:WPMM7CMN

pith:2014:WPMM7CMN2UZTNGVPA4AOZOEGUB

not attested not anchored not stored refs pending

Proper harmonic maps between asymptotically hyperbolic manifolds

Kazuo Akutagawa, Yoshihiko Matsumoto

arxiv:1411.5117 v2 · 2014-11-19 · 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{WPMM7CMN2UZTNGVPA4AOZOEGUB}

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	2026-05-18T02:32:38.190445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d8cf898dd533369aaf0700ecb886a054f312fd0ce55a237d7a6a8d712be14f

Aliases

arxiv: 1411.5117 · arxiv_version: 1411.5117v2 · doi: 10.48550/arxiv.1411.5117 · pith_short_12: WPMM7CMN2UZT · pith_short_16: WPMM7CMN2UZTNGVP · pith_short_8: WPMM7CMN

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/WPMM7CMN2UZTNGVPA4AOZOEGUB \
  | 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: b3d8cf898dd533369aaf0700ecb886a054f312fd0ce55a237d7a6a8d712be14f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5232b4dd387dd17753d924d78448157d8d813ee5abdd0dd1a1be748da50f8272",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-19T05:49:01Z",
    "title_canon_sha256": "688f61b1578e04a72a7b296124ed45d82ed2398ac443f1e9cdf691176a1d510b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5117",
    "kind": "arxiv",
    "version": 2
  }
}