Pith Number

pith:3QBFMTYJ

pith:2017:3QBFMTYJUICIVZXVT5GET4KW6H

not attested not anchored not stored refs pending

A note on singular points of bundle homomorphisms from a tangent distribution into a vector bundle of the same rank

Asahi Tsuchida, Kentaro Saji

arxiv:1706.05777 v1 · 2017-06-19 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QBFMTYJUICIVZXVT5GET4KW6H}

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	2026-05-18T00:42:08.937201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc02564f09a2048ae6f59f4c49f156f1e4092482a4474ab034dec8eab3044a4e

Aliases

arxiv: 1706.05777 · arxiv_version: 1706.05777v1 · doi: 10.48550/arxiv.1706.05777 · pith_short_12: 3QBFMTYJUICI · pith_short_16: 3QBFMTYJUICIVZXV · pith_short_8: 3QBFMTYJ

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/3QBFMTYJUICIVZXVT5GET4KW6H \
  | 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: dc02564f09a2048ae6f59f4c49f156f1e4092482a4474ab034dec8eab3044a4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a82de913d6803a6fec6211ef2ab55a4a467deb4a7b2a2d65b94eb65c3bf300",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-06-19T04:16:58Z",
    "title_canon_sha256": "4de98a0791869ec3839b362beb44fa5623a5315e5d664c038aca94be9d311654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05777",
    "kind": "arxiv",
    "version": 1
  }
}