Pith Number

pith:YKDFXTF6

pith:2015:YKDFXTF6X3UI4TDJ3NMVBLEMRT

not attested not anchored not stored refs pending

Symmetries, Hopf fibrations and supercritical elliptic problems

Angela Pistoia, M\'onica Clapp

arxiv:1501.03349 v1 · 2015-01-14 · 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{YKDFXTF6X3UI4TDJ3NMVBLEMRT}

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	2026-05-18T02:29:24.231964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2865bccbebee88e4c69db5950ac8c8cfb67dd3127edcc5cbfec16643a73283e

Aliases

arxiv: 1501.03349 · arxiv_version: 1501.03349v1 · doi: 10.48550/arxiv.1501.03349 · pith_short_12: YKDFXTF6X3UI · pith_short_16: YKDFXTF6X3UI4TDJ · pith_short_8: YKDFXTF6

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/YKDFXTF6X3UI4TDJ3NMVBLEMRT \
  | 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: c2865bccbebee88e4c69db5950ac8c8cfb67dd3127edcc5cbfec16643a73283e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b799a497d60076a38b6a3308da83c8d6aab41679843edf4ce09669d5827689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-14T13:59:13Z",
    "title_canon_sha256": "278dda497095ec89b90bb0cc7b4e3a6ec76ac5efa6d69d28675e7547fdd418ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03349",
    "kind": "arxiv",
    "version": 1
  }
}