Pith Number

pith:S5PSLVII

pith:2013:S5PSLVIIPL4A2R7S5NWGTDFWR6

not attested not anchored not stored refs pending

Higher order analogues of exterior derivative

Loredana Lanzani

arxiv:1311.5178 v1 · 2013-11-20 · 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{S5PSLVIIPL4A2R7S5NWGTDFWR6}

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	2026-05-18T03:06:35.024116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

975f25d5087af80d47f2eb6c698cb68fa01bff8609df8286dbd71ef2a6efa614

Aliases

arxiv: 1311.5178 · arxiv_version: 1311.5178v1 · doi: 10.48550/arxiv.1311.5178 · pith_short_12: S5PSLVIIPL4A · pith_short_16: S5PSLVIIPL4A2R7S · pith_short_8: S5PSLVII

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/S5PSLVIIPL4A2R7S5NWGTDFWR6 \
  | 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: 975f25d5087af80d47f2eb6c698cb68fa01bff8609df8286dbd71ef2a6efa614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "436551fce31deb93694cd0f20f0d49e70b1edb53bb00b30097b9ff6b450a6596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-20T19:16:27Z",
    "title_canon_sha256": "37ac5552ed63e2d21081dad60a34d22cb42680793af8767e79b600028e9d128d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5178",
    "kind": "arxiv",
    "version": 1
  }
}