Pith Number

pith:SEVE3E4A

pith:2015:SEVE3E4ALIEJOLFK7Y6BM7UGFG

not attested not anchored not stored refs pending

Tree-Shifts: Irreducibility, mixing, and the chaos of tree-shifts

Chih-Hung Chang, Jung-Chao Ban

arxiv:1509.01355 v2 · 2015-09-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SEVE3E4ALIEJOLFK7Y6BM7UGFG}

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	2026-05-18T01:33:33.525948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

912a4d93805a08972caafe3c167e86298ec5dbffbde6e2907ae7a85c6984b55e

Aliases

arxiv: 1509.01355 · arxiv_version: 1509.01355v2 · doi: 10.48550/arxiv.1509.01355 · pith_short_12: SEVE3E4ALIEJ · pith_short_16: SEVE3E4ALIEJOLFK · pith_short_8: SEVE3E4A

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/SEVE3E4ALIEJOLFK7Y6BM7UGFG \
  | 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: 912a4d93805a08972caafe3c167e86298ec5dbffbde6e2907ae7a85c6984b55e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46df6491a896ccd6739fb8c3bfac6e440665e541e5f74ffd26db88f6931a8408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-04T07:27:25Z",
    "title_canon_sha256": "fdff74e71ee7824cbe04902d45d0f45cced81aa48037e4d4434553012680bc9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01355",
    "kind": "arxiv",
    "version": 2
  }
}