pith. sign in
Pith Number

pith:W3PWSTHX

pith:2015:W3PWSTHXVWU2JYRBAUIMNE4HCU
not attested not anchored not stored refs pending

Topological Phases on Non-orientable Surfaces: Twisting by Parity Symmetry

Atma P.O. Chan, Jeffrey C.Y. Teo, Shinsei Ryu

arxiv:1509.03920 v2 · 2015-09-14 · cond-mat.str-el

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W3PWSTHXVWU2JYRBAUIMNE4HCU}

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 2026-05-18T01:19:18.503361Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b6df694cf7ada9a4e2210510c693871511ccc9b2196410cf9575a9a954ba0d55

Aliases

arxiv: 1509.03920 · arxiv_version: 1509.03920v2 · doi: 10.48550/arxiv.1509.03920 · pith_short_12: W3PWSTHXVWU2 · pith_short_16: W3PWSTHXVWU2JYRB · pith_short_8: W3PWSTHX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W3PWSTHXVWU2JYRBAUIMNE4HCU \
  | 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: b6df694cf7ada9a4e2210510c693871511ccc9b2196410cf9575a9a954ba0d55
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "618108c2be3cf4c566dd5b774e2def42279bbdfc9eb8e7c313fadc96a69fd0d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2015-09-14T01:10:21Z",
    "title_canon_sha256": "3b4a73f6d653c561340a62bd82ad191ccca03cf11e96d5682771daa2d742efd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03920",
    "kind": "arxiv",
    "version": 2
  }
}