Pith Number

pith:ZNHUHHZT

pith:2013:ZNHUHHZTWDABFQTTDBIB2VL4QA

not attested not anchored not stored refs pending

The degrees of maps between $(2n-1)$-Poincar\' e complexes

Aleksandar Vucic, Jelena Grbic

arxiv:1309.1361 v1 · 2013-09-05 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNHUHHZTWDABFQTTDBIB2VL4QA}

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	2026-05-18T03:14:07.481560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb4f439f33b0c012c27318501d557c801a2dac72491e0be3965c1b1a48beee4f

Aliases

arxiv: 1309.1361 · arxiv_version: 1309.1361v1 · doi: 10.48550/arxiv.1309.1361 · pith_short_12: ZNHUHHZTWDAB · pith_short_16: ZNHUHHZTWDABFQTT · pith_short_8: ZNHUHHZT

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/ZNHUHHZTWDABFQTTDBIB2VL4QA \
  | 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: cb4f439f33b0c012c27318501d557c801a2dac72491e0be3965c1b1a48beee4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1abc544a758613702f9fc259633fa8eec62d97129317b0f2e4603c429eb67b1c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-09-05T14:43:33Z",
    "title_canon_sha256": "6baf0db1c5f9edd7aa58ac675826593c381ddf5aa548baf659d19806ea5a7dd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1361",
    "kind": "arxiv",
    "version": 1
  }
}