Pith Number

pith:ZLPJV6YJ

pith:2015:ZLPJV6YJ3TFHAJXFGWRZH27HVM

not attested not anchored not stored refs pending

Tangent spaces of bundles and of filtered diffeological spaces

Enxin Wu, J. Daniel Christensen

arxiv:1510.09182 v3 · 2015-10-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLPJV6YJ3TFHAJXFGWRZH27HVM}

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	2026-05-18T00:40:41.626366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cade9afb09dcca7026e535a393ebe7ab389c9748295c417c7a92ea0d11124851

Aliases

arxiv: 1510.09182 · arxiv_version: 1510.09182v3 · doi: 10.48550/arxiv.1510.09182 · pith_short_12: ZLPJV6YJ3TFH · pith_short_16: ZLPJV6YJ3TFHAJXF · pith_short_8: ZLPJV6YJ

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/ZLPJV6YJ3TFHAJXFGWRZH27HVM \
  | 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: cade9afb09dcca7026e535a393ebe7ab389c9748295c417c7a92ea0d11124851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d979f598af109af2b1ce2bfb2d80cb73bd975fe74b634296f15ca50cd784d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-30T18:22:09Z",
    "title_canon_sha256": "e4085f33fa6aa57f36e0d57deb09f0d8b90b6164f9fc17ccf2f14af3ac3d8f43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09182",
    "kind": "arxiv",
    "version": 3
  }
}