Pith Number

pith:I5OFCOGX

pith:2018:I5OFCOGXALT2WY3MV2FYBDXZNO

not attested not anchored not stored refs pending

Energy convexity of intrinsic bi-harmonic maps and applications I: spherical target

Longzhi Lin, Paul Laurain

arxiv:1805.09428 v1 · 2018-05-23 · math.DG · 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{I5OFCOGXALT2WY3MV2FYBDXZNO}

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	2026-05-18T00:15:03.989800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475c5138d702e7ab636cae8b808ef96b82c58cd65054f60085c4323d4eeeb4c0

Aliases

arxiv: 1805.09428 · arxiv_version: 1805.09428v1 · doi: 10.48550/arxiv.1805.09428 · pith_short_12: I5OFCOGXALT2 · pith_short_16: I5OFCOGXALT2WY3M · pith_short_8: I5OFCOGX

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/I5OFCOGXALT2WY3MV2FYBDXZNO \
  | 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: 475c5138d702e7ab636cae8b808ef96b82c58cd65054f60085c4323d4eeeb4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b684bf943c73fdc8fa78460f78a4d11eeda598248e8a381eadf7c25068d086f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-05-23T21:09:33Z",
    "title_canon_sha256": "096c14383a9c719ebe0388ed8a6e19dacd07304d41b13c0adb053d27d785fe94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09428",
    "kind": "arxiv",
    "version": 1
  }
}