Pith Number

pith:V3EUYTTL

pith:2024:V3EUYTTLT2R23V6QTW2HRFFECZ

not attested not anchored not stored refs pending

Harmonic maps to the circle with higher dimensional singular set

Marco Badran

arxiv:2411.14186 v1 · 2024-11-21 · 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{V3EUYTTLT2R23V6QTW2HRFFECZ}

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	2026-07-05T09:38:42.922367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec94c4e6b9ea3add7d09db47894a416700dbfad3db89f89f66527fa0fe7f83c

Aliases

arxiv: 2411.14186 · arxiv_version: 2411.14186v1 · doi: 10.48550/arxiv.2411.14186 · pith_short_12: V3EUYTTLT2R2 · pith_short_16: V3EUYTTLT2R23V6Q · pith_short_8: V3EUYTTL

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/V3EUYTTLT2R23V6QTW2HRFFECZ \
  | 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: aec94c4e6b9ea3add7d09db47894a416700dbfad3db89f89f66527fa0fe7f83c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f70d7b186283a19a8973426dbea89470fa9fbd2614812d6921af1f470fe1bd",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-11-21T14:55:51Z",
    "title_canon_sha256": "e8c319e91784c9dce5e7503b0b6f3ed7ef349e7b77643e70e8acd9044078ec66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14186",
    "kind": "arxiv",
    "version": 1
  }
}