pith. sign in
Pith Number

pith:FJHXK2LM

pith:2013:FJHXK2LMWW2KO5FWFQNLFKQB5T
not attested not anchored not stored refs pending

Updates on Hirzebruch's 1954 Problem List

D. Kotschick

arxiv:1305.4623 v1 · 2013-05-20 · math.HO · math.CV · math.DG · math.GT · math.SG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FJHXK2LMWW2KO5FWFQNLFKQB5T}

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 2026-05-18T03:25:16.546263Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2a4f75696cb5b4a774b62c1ab2aa01ecdb1126a9b79dc72ccc95de3c2248e4af

Aliases

arxiv: 1305.4623 · arxiv_version: 1305.4623v1 · doi: 10.48550/arxiv.1305.4623 · pith_short_12: FJHXK2LMWW2K · pith_short_16: FJHXK2LMWW2KO5FW · pith_short_8: FJHXK2LM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FJHXK2LMWW2KO5FWFQNLFKQB5T \
  | 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: 2a4f75696cb5b4a774b62c1ab2aa01ecdb1126a9b79dc72ccc95de3c2248e4af
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e7581ad25a54695b20c0ae9c66d966491f90b0fa2761af200c3b9359b3b845b9",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG",
      "math.GT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-05-20T19:54:26Z",
    "title_canon_sha256": "8ca8a027744ce8ee39080bdf0d94bbd200f7718dc270de81663c2a0be9e3ac48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4623",
    "kind": "arxiv",
    "version": 1
  }
}