Pith Number

pith:5BMW4VFF

pith:2013:5BMW4VFFOGINAO5ONILJOKEPUD

not attested not anchored not stored refs pending

Semistable Symmetric Spectra in $A1$-homotopy theory

Jens Hornbostel, Stephan Haehne

arxiv:1312.4340 v2 · 2013-12-16 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BMW4VFFOGINAO5ONILJOKEPUD}

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	2026-05-18T02:54:06.898451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8596e54a57190d03bae6a1697288fa0d2b8d9b42f68c4507e902e55bfdc2820

Aliases

arxiv: 1312.4340 · arxiv_version: 1312.4340v2 · doi: 10.48550/arxiv.1312.4340 · pith_short_12: 5BMW4VFFOGIN · pith_short_16: 5BMW4VFFOGINAO5O · pith_short_8: 5BMW4VFF

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/5BMW4VFFOGINAO5ONILJOKEPUD \
  | 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: e8596e54a57190d03bae6a1697288fa0d2b8d9b42f68c4507e902e55bfdc2820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69927ff8cf2844cb0e17d6870e60e3f15e4b3f01138ed87747aa2fd8eeb56f48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-12-16T12:48:57Z",
    "title_canon_sha256": "deb3e88588581d7ae8619d8d54ed5336471dbf6ca4b65df41b36a09f9401a623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4340",
    "kind": "arxiv",
    "version": 2
  }
}