Pith Number

pith:J3XMFRMP

pith:2015:J3XMFRMPLQWADNDDV6ZWLG4A64

not attested not anchored not stored refs pending

Infinite families of harmonic self-maps of spheres

Anna Siffert

arxiv:1501.06157 v2 · 2015-01-25 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3XMFRMPLQWADNDDV6ZWLG4A64}

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	2026-05-18T01:30:01.157181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eeec2c58f5c2c01b463afb3659b80f72e457de6f7d4885c489603240233b83c

Aliases

arxiv: 1501.06157 · arxiv_version: 1501.06157v2 · doi: 10.48550/arxiv.1501.06157 · pith_short_12: J3XMFRMPLQWA · pith_short_16: J3XMFRMPLQWADNDD · pith_short_8: J3XMFRMP

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/J3XMFRMPLQWADNDDV6ZWLG4A64 \
  | 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: 4eeec2c58f5c2c01b463afb3659b80f72e457de6f7d4885c489603240233b83c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93ce69bae24efcacc9ea94a85799be0f5a5cae2c82329dda5c7508e351b83125",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-25T13:43:15Z",
    "title_canon_sha256": "251bde4956816fe5c1a48a74285aaa81b7be156f32aa5f21611591f6d32cbb11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06157",
    "kind": "arxiv",
    "version": 2
  }
}