Pith Number

pith:MNYPCGQP

pith:2009:MNYPCGQP2L72B7Y6Y2J65BWG3I

not attested not anchored not stored refs pending

Higher integrability and approximation of minimal currents

Camillo De Lellis, Emanuele Nunzio Spadaro

arxiv:0910.5878 v3 · 2009-10-30 · 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{MNYPCGQP2L72B7Y6Y2J65BWG3I}

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	2026-05-18T03:21:32.150335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6370f11a0fd2ffa0ff1ec693ee86c6da3f0e7befc8338e2ca56ff13e7417d333

Aliases

arxiv: 0910.5878 · arxiv_version: 0910.5878v3 · doi: 10.48550/arxiv.0910.5878 · pith_short_12: MNYPCGQP2L72 · pith_short_16: MNYPCGQP2L72B7Y6 · pith_short_8: MNYPCGQP

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/MNYPCGQP2L72B7Y6Y2J65BWG3I \
  | 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: 6370f11a0fd2ffa0ff1ec693ee86c6da3f0e7befc8338e2ca56ff13e7417d333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285fbe3265890d19d494d6af3edc8c704e114a06fe05a956f80173e67fe5581b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-10-30T14:29:58Z",
    "title_canon_sha256": "92cb9acd2b57bd2b3f69074a4989f2028ba12084daf0933e2e1a3ec374140e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5878",
    "kind": "arxiv",
    "version": 3
  }
}