Pith Number

pith:ED5L6U3G

pith:2011:ED5L6U3GF2Z6YOSWGZHLONXDQ3

not attested not anchored not stored refs pending

Operations in the homology spectral sequence of a cosimplicial infinite loop space

Philip Hackney

arxiv:1101.3798 v3 · 2011-01-19 · 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{ED5L6U3GF2Z6YOSWGZHLONXDQ3}

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	2026-05-18T03:13:58.588453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20fabf53662eb3ec3a56364eb736e386dd5ffba1925cd53b967574ea3dc06a70

Aliases

arxiv: 1101.3798 · arxiv_version: 1101.3798v3 · doi: 10.48550/arxiv.1101.3798 · pith_short_12: ED5L6U3GF2Z6 · pith_short_16: ED5L6U3GF2Z6YOSW · pith_short_8: ED5L6U3G

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/ED5L6U3GF2Z6YOSWGZHLONXDQ3 \
  | 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: 20fabf53662eb3ec3a56364eb736e386dd5ffba1925cd53b967574ea3dc06a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b47a7ef75a42c2aa5cb39547f298396c6d88d8f846b675b9606148245c11ec4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-01-19T23:34:47Z",
    "title_canon_sha256": "4029e5c1630c7be4e7e689c388f8a58f6b6115004dea2cefd4662dffcc738a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3798",
    "kind": "arxiv",
    "version": 3
  }
}