Pith Number

pith:G4FL7YJV

pith:2017:G4FL7YJVEBYIBLHBNBBK7NUSWP

not attested not anchored not stored refs pending

Existence of harmonic maps into CAT(1) spaces

Ailana Fraser, Chikako Mese, Christine Breiner, Lan-Hsuan Huang, Pam Sargent, Yingying Zhang

arxiv:1701.02350 v1 · 2017-01-09 · 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{G4FL7YJVEBYIBLHBNBBK7NUSWP}

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	2026-05-18T00:53:04.466913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370abfe135207080ace16842afb692b3c88f699d3a7d33992c38d5bb82671d32

Aliases

arxiv: 1701.02350 · arxiv_version: 1701.02350v1 · doi: 10.48550/arxiv.1701.02350 · pith_short_12: G4FL7YJVEBYI · pith_short_16: G4FL7YJVEBYIBLHB · pith_short_8: G4FL7YJV

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/G4FL7YJVEBYIBLHBNBBK7NUSWP \
  | 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: 370abfe135207080ace16842afb692b3c88f699d3a7d33992c38d5bb82671d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3653e8810d4587cd809ff6c020846b7b2ddb7e0c9649969b22191a1cf51326e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-09T21:04:44Z",
    "title_canon_sha256": "df2925c99699b6f01264ab706bc04609903efb8fa15614b6da84f76ebeb04cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02350",
    "kind": "arxiv",
    "version": 1
  }
}