Pith Number

pith:XZIGW5TV

pith:2017:XZIGW5TVYEUHZZCMOC7QRMIM56

not attested not anchored not stored refs pending

Harmonic maps into the orthogonal group and null curves

Bruno Ascenso Sim\~oes, John C. Wood, Maria Jo\~ao Ferreira

arxiv:1712.04665 v3 · 2017-12-13 · 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{XZIGW5TVYEUHZZCMOC7QRMIM56}

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	2026-05-18T00:01:38.806589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be506b7675c1287ce44c70bf08b10cef903aea4484dddf7bcf7dbc21d21aa065

Aliases

arxiv: 1712.04665 · arxiv_version: 1712.04665v3 · doi: 10.48550/arxiv.1712.04665 · pith_short_12: XZIGW5TVYEUH · pith_short_16: XZIGW5TVYEUHZZCM · pith_short_8: XZIGW5TV

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/XZIGW5TVYEUHZZCMOC7QRMIM56 \
  | 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: be506b7675c1287ce44c70bf08b10cef903aea4484dddf7bcf7dbc21d21aa065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f62280cfa005accf6d28155f1fa8293296d1ef13cde858187dfa5529eccf7e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-13T09:05:14Z",
    "title_canon_sha256": "2ad011020cd06cc27f339ccfcb7f9ff069e6fbc104000105f5eb9c7ee9f5940a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04665",
    "kind": "arxiv",
    "version": 3
  }
}