Pith Number

pith:PTQC3OQ7

pith:2014:PTQC3OQ77FD6BVX4Y443HM7Q2Z

not attested not anchored not stored refs pending

Sequences of harmonic maps in the 3-sphere

Bart Dioos, Joeri Van der Veken, Luc Vrancken

arxiv:1408.4414 v2 · 2014-08-19 · 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{PTQC3OQ77FD6BVX4Y443HM7Q2Z}

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	2026-05-18T02:34:51.850136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce02dba1ff947e0d6fcc739b3b3f0d648357572c7313884655086021cbc9309

Aliases

arxiv: 1408.4414 · arxiv_version: 1408.4414v2 · doi: 10.48550/arxiv.1408.4414 · pith_short_12: PTQC3OQ77FD6 · pith_short_16: PTQC3OQ77FD6BVX4 · pith_short_8: PTQC3OQ7

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/PTQC3OQ77FD6BVX4Y443HM7Q2Z \
  | 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: 7ce02dba1ff947e0d6fcc739b3b3f0d648357572c7313884655086021cbc9309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "792fec077aadae12813b096b1fc2a480311029167268183309c7d6719fed4750",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-19T18:12:31Z",
    "title_canon_sha256": "49d0c270a4cea4849087429978940551dc02e89181b5d67560e1def17167a5d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4414",
    "kind": "arxiv",
    "version": 2
  }
}