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Pith Number

pith:EVRVOS6D

pith:2013:EVRVOS6DJHTHQ5VQ7PVSJ7NG4I
not attested not anchored not stored refs pending

The pre-Lie structure of the time-ordered exponential

Frederic Patras, Kurusch Ebrahimi-Fard

arxiv:1305.3856 v1 · 2013-05-16 · math.RA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EVRVOS6DJHTHQ5VQ7PVSJ7NG4I}

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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 2026-05-18T02:23:35.523519Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2563574bc349e67876b0fbeb24fda6e21fda5a98d5e0d48e23383a786a930624

Aliases

arxiv: 1305.3856 · arxiv_version: 1305.3856v1 · doi: 10.48550/arxiv.1305.3856 · pith_short_12: EVRVOS6DJHTH · pith_short_16: EVRVOS6DJHTHQ5VQ · pith_short_8: EVRVOS6D
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EVRVOS6DJHTHQ5VQ7PVSJ7NG4I \
  | 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: 2563574bc349e67876b0fbeb24fda6e21fda5a98d5e0d48e23383a786a930624
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a2af4e132379adac74af5c5c784e63854c5067e116914c932b3d5cff13ceca9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-05-16T16:12:03Z",
    "title_canon_sha256": "04124660ff941fec3c2a8a2fbb307485afaa2d10f052f06a47520545eb870063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3856",
    "kind": "arxiv",
    "version": 1
  }
}