Pith Number

pith:26AHDUG2

pith:2016:26AHDUG2I7T5HC7IIEIHB5Y3UM

not attested not anchored not stored refs pending

Dual morse index estimates and application to Hamiltonian systems with P-boundary conditions

Shanshan Tang

arxiv:1606.04365 v1 · 2016-06-14 · 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{26AHDUG2I7T5HC7IIEIHB5Y3UM}

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	2026-05-18T01:12:25.693962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78071d0da47e7d38be8411070f71ba33cea06395ece98b6d1b139b00e042595

Aliases

arxiv: 1606.04365 · arxiv_version: 1606.04365v1 · doi: 10.48550/arxiv.1606.04365 · pith_short_12: 26AHDUG2I7T5 · pith_short_16: 26AHDUG2I7T5HC7I · pith_short_8: 26AHDUG2

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/26AHDUG2I7T5HC7IIEIHB5Y3UM \
  | 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: d78071d0da47e7d38be8411070f71ba33cea06395ece98b6d1b139b00e042595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a315867484e284d88c6777ab65ba53744f36a281f6824cf1c61765d86c22a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-14T13:45:01Z",
    "title_canon_sha256": "d5d1b0a051e3465c90403ae9439dc866470881ebd98d35226a43a8645cd6e5a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04365",
    "kind": "arxiv",
    "version": 1
  }
}