Pith Number

pith:UCI5QHTC

pith:2015:UCI5QHTCO27PDXZRIMLJA5H3AJ

not attested not anchored not stored refs pending

Homotopy equivalence of nearby Lagrangians and the Serre spectral sequence

Thomas Kragh

arxiv:1505.07359 v2 · 2015-05-27 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCI5QHTCO27PDXZRIMLJA5H3AJ}

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	2026-05-18T01:11:51.622932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a091d81e6276bef1df3143169074fb02637788a9ae53a1cc93ee281c137dfe93

Aliases

arxiv: 1505.07359 · arxiv_version: 1505.07359v2 · doi: 10.48550/arxiv.1505.07359 · pith_short_12: UCI5QHTCO27P · pith_short_16: UCI5QHTCO27PDXZR · pith_short_8: UCI5QHTC

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/UCI5QHTCO27PDXZRIMLJA5H3AJ \
  | 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: a091d81e6276bef1df3143169074fb02637788a9ae53a1cc93ee281c137dfe93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9feed6ac1862a102d2b08c112bc79f257d44e2c534bc8f7e78d2d49c0bd509b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-05-27T14:51:36Z",
    "title_canon_sha256": "307ce7c86237e2b7547975758b8f1af73621ccc17a00da73b11e7546a7a80f0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07359",
    "kind": "arxiv",
    "version": 2
  }
}