Pith Number

pith:LB6WHJ47

pith:2011:LB6WHJ47MJYU56DF3DQZKYEYQV

not attested not anchored not stored refs pending

Biharmonic maps into symmetric spaces and integrable systems

Hajime Urakawa

arxiv:1101.3152 v2 · 2011-01-17 · 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{LB6WHJ47MJYU56DF3DQZKYEYQV}

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	2026-05-18T04:03:32.490946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

587d63a79f62714ef865d8e195609885690d014f8bed4344f5a58b026f5ef6f6

Aliases

arxiv: 1101.3152 · arxiv_version: 1101.3152v2 · doi: 10.48550/arxiv.1101.3152 · pith_short_12: LB6WHJ47MJYU · pith_short_16: LB6WHJ47MJYU56DF · pith_short_8: LB6WHJ47

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/LB6WHJ47MJYU56DF3DQZKYEYQV \
  | 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: 587d63a79f62714ef865d8e195609885690d014f8bed4344f5a58b026f5ef6f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c41d83756a042d07cc021405a503cb2e21cf3a0f96c1d55730c99994b9e049",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-17T08:54:59Z",
    "title_canon_sha256": "e70698706a08089d382d54b0abe15b57a0693e9b685142377f39b5c3de0b4349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3152",
    "kind": "arxiv",
    "version": 2
  }
}